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Finding the Fourth Proportional to 48.70, 67.17 and 43.84

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Solution

The fourth proportional to 48.70, 67.17 and 43.84 is: 60.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.70 : 67.17 = 43.84 : x
  2. Step 2: Convert to fraction form
    48.70/67.17 = 43.84/x
  3. Step 3: Cross multiply
    48.70x = 67.17 × 43.84
  4. Step 4: Simplify right side
    48.70x = 2,944.73
  5. Step 5: Solve for x
    x = 2,944.73/48.70
  6. Step 6: Final answer
    x = 60.47

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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.