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Finding the Fourth Proportional to 359.87, 539.10 and 237.78

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Solution

The fourth proportional to 359.87, 539.10 and 237.78 is: 356.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.87 : 539.10 = 237.78 : x
  2. Step 2: Convert to fraction form
    359.87/539.10 = 237.78/x
  3. Step 3: Cross multiply
    359.87x = 539.10 × 237.78
  4. Step 4: Simplify right side
    359.87x = 128,187.20
  5. Step 5: Solve for x
    x = 128,187.20/359.87
  6. Step 6: Final answer
    x = 356.21

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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.