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Finding the Fourth Proportional to 359.27, 539.02 and 151.14

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Solution

The fourth proportional to 359.27, 539.02 and 151.14 is: 226.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.27 : 539.02 = 151.14 : x
  2. Step 2: Convert to fraction form
    359.27/539.02 = 151.14/x
  3. Step 3: Cross multiply
    359.27x = 539.02 × 151.14
  4. Step 4: Simplify right side
    359.27x = 81,467.48
  5. Step 5: Solve for x
    x = 81,467.48/359.27
  6. Step 6: Final answer
    x = 226.76

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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.