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Finding the Fourth Proportional to 434.76, 652.14 and 142.24

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Solution

The fourth proportional to 434.76, 652.14 and 142.24 is: 213.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.76 : 652.14 = 142.24 : x
  2. Step 2: Convert to fraction form
    434.76/652.14 = 142.24/x
  3. Step 3: Cross multiply
    434.76x = 652.14 × 142.24
  4. Step 4: Simplify right side
    434.76x = 92,760.39
  5. Step 5: Solve for x
    x = 92,760.39/434.76
  6. Step 6: Final answer
    x = 213.36

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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.