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Finding the Fourth Proportional to 359.31, 538.93 and 115.86

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Solution

The fourth proportional to 359.31, 538.93 and 115.86 is: 173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.31 : 538.93 = 115.86 : x
  2. Step 2: Convert to fraction form
    359.31/538.93 = 115.86/x
  3. Step 3: Cross multiply
    359.31x = 538.93 × 115.86
  4. Step 4: Simplify right side
    359.31x = 62,440.43
  5. Step 5: Solve for x
    x = 62,440.43/359.31
  6. Step 6: Final answer
    x = 173.78

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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.