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Finding the Fourth Proportional to 48.49, 72.78 and 24.46

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Solution

The fourth proportional to 48.49, 72.78 and 24.46 is: 36.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.49 : 72.78 = 24.46 : x
  2. Step 2: Convert to fraction form
    48.49/72.78 = 24.46/x
  3. Step 3: Cross multiply
    48.49x = 72.78 × 24.46
  4. Step 4: Simplify right side
    48.49x = 1,780.20
  5. Step 5: Solve for x
    x = 1,780.20/48.49
  6. Step 6: Final answer
    x = 36.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.