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Finding the Fourth Proportional to 501.69, 692.37 and 280.68

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Solution

The fourth proportional to 501.69, 692.37 and 280.68 is: 387.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.69 : 692.37 = 280.68 : x
  2. Step 2: Convert to fraction form
    501.69/692.37 = 280.68/x
  3. Step 3: Cross multiply
    501.69x = 692.37 × 280.68
  4. Step 4: Simplify right side
    501.69x = 194,334.41
  5. Step 5: Solve for x
    x = 194,334.41/501.69
  6. Step 6: Final answer
    x = 387.36

Related Problems

Find fourth proportional to 250.85, 346.19 and 140.34
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.