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Finding the Fourth Proportional to 48.57, 72.80 and 31.46

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Solution

The fourth proportional to 48.57, 72.80 and 31.46 is: 47.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.57 : 72.80 = 31.46 : x
  2. Step 2: Convert to fraction form
    48.57/72.80 = 31.46/x
  3. Step 3: Cross multiply
    48.57x = 72.80 × 31.46
  4. Step 4: Simplify right side
    48.57x = 2,289.97
  5. Step 5: Solve for x
    x = 2,289.97/48.57
  6. Step 6: Final answer
    x = 47.15

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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.