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Finding the Fourth Proportional to 311.52, 429.92 and 173.52

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Solution

The fourth proportional to 311.52, 429.92 and 173.52 is: 239.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.52 : 429.92 = 173.52 : x
  2. Step 2: Convert to fraction form
    311.52/429.92 = 173.52/x
  3. Step 3: Cross multiply
    311.52x = 429.92 × 173.52
  4. Step 4: Simplify right side
    311.52x = 74,599.72
  5. Step 5: Solve for x
    x = 74,599.72/311.52
  6. Step 6: Final answer
    x = 239.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.