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Finding the Fourth Proportional to 434.97, 652.76 and 252.42

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Solution

The fourth proportional to 434.97, 652.76 and 252.42 is: 378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.97 : 652.76 = 252.42 : x
  2. Step 2: Convert to fraction form
    434.97/652.76 = 252.42/x
  3. Step 3: Cross multiply
    434.97x = 652.76 × 252.42
  4. Step 4: Simplify right side
    434.97x = 164,766.92
  5. Step 5: Solve for x
    x = 164,766.92/434.97
  6. Step 6: Final answer
    x = 378.80

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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.