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Finding the Fourth Proportional to 48.28, 66.68 and 41.71

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Solution

The fourth proportional to 48.28, 66.68 and 41.71 is: 57.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.28 : 66.68 = 41.71 : x
  2. Step 2: Convert to fraction form
    48.28/66.68 = 41.71/x
  3. Step 3: Cross multiply
    48.28x = 66.68 × 41.71
  4. Step 4: Simplify right side
    48.28x = 2,781.22
  5. Step 5: Solve for x
    x = 2,781.22/48.28
  6. Step 6: Final answer
    x = 57.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.