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Finding the Fourth Proportional to 48.68, 66.89 and 46.42

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Solution

The fourth proportional to 48.68, 66.89 and 46.42 is: 63.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.68 : 66.89 = 46.42 : x
  2. Step 2: Convert to fraction form
    48.68/66.89 = 46.42/x
  3. Step 3: Cross multiply
    48.68x = 66.89 × 46.42
  4. Step 4: Simplify right side
    48.68x = 3,105.03
  5. Step 5: Solve for x
    x = 3,105.03/48.68
  6. Step 6: Final answer
    x = 63.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.