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Finding the Fourth Proportional to 359.67, 539.42 and 99.61

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Solution

The fourth proportional to 359.67, 539.42 and 99.61 is: 149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.67 : 539.42 = 99.61 : x
  2. Step 2: Convert to fraction form
    359.67/539.42 = 99.61/x
  3. Step 3: Cross multiply
    359.67x = 539.42 × 99.61
  4. Step 4: Simplify right side
    359.67x = 53,729.78
  5. Step 5: Solve for x
    x = 53,729.78/359.67
  6. Step 6: Final answer
    x = 149.38

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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.