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Finding the Fourth Proportional to 48.89, 67.37 and 39.66

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Solution

The fourth proportional to 48.89, 67.37 and 39.66 is: 54.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.89 : 67.37 = 39.66 : x
  2. Step 2: Convert to fraction form
    48.89/67.37 = 39.66/x
  3. Step 3: Cross multiply
    48.89x = 67.37 × 39.66
  4. Step 4: Simplify right side
    48.89x = 2,671.70
  5. Step 5: Solve for x
    x = 2,671.70/48.89
  6. Step 6: Final answer
    x = 54.65

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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.