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Finding the Fourth Proportional to 311.52, 466.85 and 172.76

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Solution

The fourth proportional to 311.52, 466.85 and 172.76 is: 258.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.52 : 466.85 = 172.76 : x
  2. Step 2: Convert to fraction form
    311.52/466.85 = 172.76/x
  3. Step 3: Cross multiply
    311.52x = 466.85 × 172.76
  4. Step 4: Simplify right side
    311.52x = 80,653.31
  5. Step 5: Solve for x
    x = 80,653.31/311.52
  6. Step 6: Final answer
    x = 258.90

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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.