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Finding the Fourth Proportional to 48.31, 72.56 and 31.22

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Solution

The fourth proportional to 48.31, 72.56 and 31.22 is: 46.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.31 : 72.56 = 31.22 : x
  2. Step 2: Convert to fraction form
    48.31/72.56 = 31.22/x
  3. Step 3: Cross multiply
    48.31x = 72.56 × 31.22
  4. Step 4: Simplify right side
    48.31x = 2,265.31
  5. Step 5: Solve for x
    x = 2,265.31/48.31
  6. Step 6: Final answer
    x = 46.89

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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.