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Finding the Fourth Proportional to 49.39, 67.71 and 48.57

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Solution

The fourth proportional to 49.39, 67.71 and 48.57 is: 66.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.39 : 67.71 = 48.57 : x
  2. Step 2: Convert to fraction form
    49.39/67.71 = 48.57/x
  3. Step 3: Cross multiply
    49.39x = 67.71 × 48.57
  4. Step 4: Simplify right side
    49.39x = 3,288.67
  5. Step 5: Solve for x
    x = 3,288.67/49.39
  6. Step 6: Final answer
    x = 66.59

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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.