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Finding the Fourth Proportional to 48.46, 66.82 and 31.22

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Solution

The fourth proportional to 48.46, 66.82 and 31.22 is: 43.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.46 : 66.82 = 31.22 : x
  2. Step 2: Convert to fraction form
    48.46/66.82 = 31.22/x
  3. Step 3: Cross multiply
    48.46x = 66.82 × 31.22
  4. Step 4: Simplify right side
    48.46x = 2,086.12
  5. Step 5: Solve for x
    x = 2,086.12/48.46
  6. Step 6: Final answer
    x = 43.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.