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Finding the Fourth Proportional to 434.91, 652.49 and 229.43

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Solution

The fourth proportional to 434.91, 652.49 and 229.43 is: 344.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.91 : 652.49 = 229.43 : x
  2. Step 2: Convert to fraction form
    434.91/652.49 = 229.43/x
  3. Step 3: Cross multiply
    434.91x = 652.49 × 229.43
  4. Step 4: Simplify right side
    434.91x = 149,700.78
  5. Step 5: Solve for x
    x = 149,700.78/434.91
  6. Step 6: Final answer
    x = 344.21

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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.