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Finding the Fourth Proportional to 632.38, 949.12 and 344.02

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Solution

The fourth proportional to 632.38, 949.12 and 344.02 is: 516.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.38 : 949.12 = 344.02 : x
  2. Step 2: Convert to fraction form
    632.38/949.12 = 344.02/x
  3. Step 3: Cross multiply
    632.38x = 949.12 × 344.02
  4. Step 4: Simplify right side
    632.38x = 326,516.26
  5. Step 5: Solve for x
    x = 326,516.26/632.38
  6. Step 6: Final answer
    x = 516.33

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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.