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Finding the Fourth Proportional to 48.97, 72.43 and 48.97

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Solution

The fourth proportional to 48.97, 72.43 and 48.97 is: 72.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.97 : 72.43 = 48.97 : x
  2. Step 2: Convert to fraction form
    48.97/72.43 = 48.97/x
  3. Step 3: Cross multiply
    48.97x = 72.43 × 48.97
  4. Step 4: Simplify right side
    48.97x = 3,546.90
  5. Step 5: Solve for x
    x = 3,546.90/48.97
  6. Step 6: Final answer
    x = 72.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.