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Finding the Fourth Proportional to 48.38, 72.46 and 34.78

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Solution

The fourth proportional to 48.38, 72.46 and 34.78 is: 52.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.38 : 72.46 = 34.78 : x
  2. Step 2: Convert to fraction form
    48.38/72.46 = 34.78/x
  3. Step 3: Cross multiply
    48.38x = 72.46 × 34.78
  4. Step 4: Simplify right side
    48.38x = 2,520.16
  5. Step 5: Solve for x
    x = 2,520.16/48.38
  6. Step 6: Final answer
    x = 52.09

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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.