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Finding the Fourth Proportional to 472.38, 708.56 and 130.38

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Solution

The fourth proportional to 472.38, 708.56 and 130.38 is: 195.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.38 : 708.56 = 130.38 : x
  2. Step 2: Convert to fraction form
    472.38/708.56 = 130.38/x
  3. Step 3: Cross multiply
    472.38x = 708.56 × 130.38
  4. Step 4: Simplify right side
    472.38x = 92,382.05
  5. Step 5: Solve for x
    x = 92,382.05/472.38
  6. Step 6: Final answer
    x = 195.57

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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.