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Finding the Fourth Proportional to 474.47, 710.78 and 231.17

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Solution

The fourth proportional to 474.47, 710.78 and 231.17 is: 346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.47 : 710.78 = 231.17 : x
  2. Step 2: Convert to fraction form
    474.47/710.78 = 231.17/x
  3. Step 3: Cross multiply
    474.47x = 710.78 × 231.17
  4. Step 4: Simplify right side
    474.47x = 164,306.30
  5. Step 5: Solve for x
    x = 164,306.30/474.47
  6. Step 6: Final answer
    x = 346.30

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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.