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Finding the Fourth Proportional to 331.31, 497.08 and 114.88

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Solution

The fourth proportional to 331.31, 497.08 and 114.88 is: 172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.31 : 497.08 = 114.88 : x
  2. Step 2: Convert to fraction form
    331.31/497.08 = 114.88/x
  3. Step 3: Cross multiply
    331.31x = 497.08 × 114.88
  4. Step 4: Simplify right side
    331.31x = 57,104.55
  5. Step 5: Solve for x
    x = 57,104.55/331.31
  6. Step 6: Final answer
    x = 172.36

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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.