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Finding the Fourth Proportional to 82.98, 124.42 and 31.63

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Solution

The fourth proportional to 82.98, 124.42 and 31.63 is: 47.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.98 : 124.42 = 31.63 : x
  2. Step 2: Convert to fraction form
    82.98/124.42 = 31.63/x
  3. Step 3: Cross multiply
    82.98x = 124.42 × 31.63
  4. Step 4: Simplify right side
    82.98x = 3,935.40
  5. Step 5: Solve for x
    x = 3,935.40/82.98
  6. Step 6: Final answer
    x = 47.43

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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.