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Finding the Fourth Proportional to 49.16, 67.25 and 48.71

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Solution

The fourth proportional to 49.16, 67.25 and 48.71 is: 66.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.16 : 67.25 = 48.71 : x
  2. Step 2: Convert to fraction form
    49.16/67.25 = 48.71/x
  3. Step 3: Cross multiply
    49.16x = 67.25 × 48.71
  4. Step 4: Simplify right side
    49.16x = 3,276.04
  5. Step 5: Solve for x
    x = 3,276.04/49.16
  6. Step 6: Final answer
    x = 66.64

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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.