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Finding the Fourth Proportional to 359.14, 538.71 and 166.90

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Solution

The fourth proportional to 359.14, 538.71 and 166.90 is: 250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.14 : 538.71 = 166.90 : x
  2. Step 2: Convert to fraction form
    359.14/538.71 = 166.90/x
  3. Step 3: Cross multiply
    359.14x = 538.71 × 166.90
  4. Step 4: Simplify right side
    359.14x = 89,910.70
  5. Step 5: Solve for x
    x = 89,910.70/359.14
  6. Step 6: Final answer
    x = 250.35

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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.