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Finding the Fourth Proportional to 48.38, 66.72 and 36.09

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Solution

The fourth proportional to 48.38, 66.72 and 36.09 is: 49.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.38 : 66.72 = 36.09 : x
  2. Step 2: Convert to fraction form
    48.38/66.72 = 36.09/x
  3. Step 3: Cross multiply
    48.38x = 66.72 × 36.09
  4. Step 4: Simplify right side
    48.38x = 2,407.92
  5. Step 5: Solve for x
    x = 2,407.92/48.38
  6. Step 6: Final answer
    x = 49.78

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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.