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Finding the Fourth Proportional to 231.31, 347.06 and 87.13

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Solution

The fourth proportional to 231.31, 347.06 and 87.13 is: 130.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.31 : 347.06 = 87.13 : x
  2. Step 2: Convert to fraction form
    231.31/347.06 = 87.13/x
  3. Step 3: Cross multiply
    231.31x = 347.06 × 87.13
  4. Step 4: Simplify right side
    231.31x = 30,239.34
  5. Step 5: Solve for x
    x = 30,239.34/231.31
  6. Step 6: Final answer
    x = 130.73

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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.