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Finding the Fourth Proportional to 311.47, 466.59 and 257.20

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Solution

The fourth proportional to 311.47, 466.59 and 257.20 is: 385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.47 : 466.59 = 257.20 : x
  2. Step 2: Convert to fraction form
    311.47/466.59 = 257.20/x
  3. Step 3: Cross multiply
    311.47x = 466.59 × 257.20
  4. Step 4: Simplify right side
    311.47x = 120,006.95
  5. Step 5: Solve for x
    x = 120,006.95/311.47
  6. Step 6: Final answer
    x = 385.29

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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.