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Finding the Fourth Proportional to 481.31, 721.35 and 307.91

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Solution

The fourth proportional to 481.31, 721.35 and 307.91 is: 461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.31 : 721.35 = 307.91 : x
  2. Step 2: Convert to fraction form
    481.31/721.35 = 307.91/x
  3. Step 3: Cross multiply
    481.31x = 721.35 × 307.91
  4. Step 4: Simplify right side
    481.31x = 222,110.88
  5. Step 5: Solve for x
    x = 222,110.88/481.31
  6. Step 6: Final answer
    x = 461.47

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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.