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Finding the Fourth Proportional to 231.39, 347.13 and 85.17

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Solution

The fourth proportional to 231.39, 347.13 and 85.17 is: 127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.39 : 347.13 = 85.17 : x
  2. Step 2: Convert to fraction form
    231.39/347.13 = 85.17/x
  3. Step 3: Cross multiply
    231.39x = 347.13 × 85.17
  4. Step 4: Simplify right side
    231.39x = 29,565.06
  5. Step 5: Solve for x
    x = 29,565.06/231.39
  6. Step 6: Final answer
    x = 127.77

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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.