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Finding the Fourth Proportional to 383.34, 571.98 and 360

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Solution

The fourth proportional to 383.34, 571.98 and 360 is: 537.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.34 : 571.98 = 360 : x
  2. Step 2: Convert to fraction form
    383.34/571.98 = 360/x
  3. Step 3: Cross multiply
    383.34x = 571.98 × 360
  4. Step 4: Simplify right side
    383.34x = 205,912.80
  5. Step 5: Solve for x
    x = 205,912.80/383.34
  6. Step 6: Final answer
    x = 537.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.