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Finding the Fourth Proportional to 359.53, 539.22 and 140.17

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Solution

The fourth proportional to 359.53, 539.22 and 140.17 is: 210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.53 : 539.22 = 140.17 : x
  2. Step 2: Convert to fraction form
    359.53/539.22 = 140.17/x
  3. Step 3: Cross multiply
    359.53x = 539.22 × 140.17
  4. Step 4: Simplify right side
    359.53x = 75,580.46
  5. Step 5: Solve for x
    x = 75,580.46/359.53
  6. Step 6: Final answer
    x = 210.22

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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.