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Finding the Fourth Proportional to 434.98, 652.49 and 142.48

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Solution

The fourth proportional to 434.98, 652.49 and 142.48 is: 213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.98 : 652.49 = 142.48 : x
  2. Step 2: Convert to fraction form
    434.98/652.49 = 142.48/x
  3. Step 3: Cross multiply
    434.98x = 652.49 × 142.48
  4. Step 4: Simplify right side
    434.98x = 92,966.78
  5. Step 5: Solve for x
    x = 92,966.78/434.98
  6. Step 6: Final answer
    x = 213.73

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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.