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Finding the Fourth Proportional to 311.17, 466.85 and 174.48

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Solution

The fourth proportional to 311.17, 466.85 and 174.48 is: 261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.17 : 466.85 = 174.48 : x
  2. Step 2: Convert to fraction form
    311.17/466.85 = 174.48/x
  3. Step 3: Cross multiply
    311.17x = 466.85 × 174.48
  4. Step 4: Simplify right side
    311.17x = 81,456.42
  5. Step 5: Solve for x
    x = 81,456.42/311.17
  6. Step 6: Final answer
    x = 261.78

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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.