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Finding the Fourth Proportional to 427.52, 641.03 and 232.17

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Solution

The fourth proportional to 427.52, 641.03 and 232.17 is: 348.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.52 : 641.03 = 232.17 : x
  2. Step 2: Convert to fraction form
    427.52/641.03 = 232.17/x
  3. Step 3: Cross multiply
    427.52x = 641.03 × 232.17
  4. Step 4: Simplify right side
    427.52x = 148,827.94
  5. Step 5: Solve for x
    x = 148,827.94/427.52
  6. Step 6: Final answer
    x = 348.12

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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.