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Finding the Fourth Proportional to 359.20, 538.48 and 166.72

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Solution

The fourth proportional to 359.20, 538.48 and 166.72 is: 249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.20 : 538.48 = 166.72 : x
  2. Step 2: Convert to fraction form
    359.20/538.48 = 166.72/x
  3. Step 3: Cross multiply
    359.20x = 538.48 × 166.72
  4. Step 4: Simplify right side
    359.20x = 89,775.39
  5. Step 5: Solve for x
    x = 89,775.39/359.20
  6. Step 6: Final answer
    x = 249.93

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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.