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Finding the Fourth Proportional to 508.23, 762.75 and 200.23

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Solution

The fourth proportional to 508.23, 762.75 and 200.23 is: 300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.23 : 762.75 = 200.23 : x
  2. Step 2: Convert to fraction form
    508.23/762.75 = 200.23/x
  3. Step 3: Cross multiply
    508.23x = 762.75 × 200.23
  4. Step 4: Simplify right side
    508.23x = 152,723.53
  5. Step 5: Solve for x
    x = 152,723.53/508.23
  6. Step 6: Final answer
    x = 300.50

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.