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Finding the Fourth Proportional to 359.37, 539.10 and 115.89

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Solution

The fourth proportional to 359.37, 539.10 and 115.89 is: 173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.37 : 539.10 = 115.89 : x
  2. Step 2: Convert to fraction form
    359.37/539.10 = 115.89/x
  3. Step 3: Cross multiply
    359.37x = 539.10 × 115.89
  4. Step 4: Simplify right side
    359.37x = 62,475.72
  5. Step 5: Solve for x
    x = 62,475.72/359.37
  6. Step 6: Final answer
    x = 173.85

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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.