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Finding the Fourth Proportional to 372.13, 557.80 and 166.42

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Solution

The fourth proportional to 372.13, 557.80 and 166.42 is: 249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.13 : 557.80 = 166.42 : x
  2. Step 2: Convert to fraction form
    372.13/557.80 = 166.42/x
  3. Step 3: Cross multiply
    372.13x = 557.80 × 166.42
  4. Step 4: Simplify right side
    372.13x = 92,825.45
  5. Step 5: Solve for x
    x = 92,825.45/372.13
  6. Step 6: Final answer
    x = 249.44

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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.