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Finding the Fourth Proportional to 48.97, 72.54 and 48.43

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Solution

The fourth proportional to 48.97, 72.54 and 48.43 is: 71.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.97 : 72.54 = 48.43 : x
  2. Step 2: Convert to fraction form
    48.97/72.54 = 48.43/x
  3. Step 3: Cross multiply
    48.97x = 72.54 × 48.43
  4. Step 4: Simplify right side
    48.97x = 3,512.87
  5. Step 5: Solve for x
    x = 3,512.87/48.97
  6. Step 6: Final answer
    x = 71.74

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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.