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Finding the Fourth Proportional to 82.64, 123.40 and 76.97

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Solution

The fourth proportional to 82.64, 123.40 and 76.97 is: 114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.64 : 123.40 = 76.97 : x
  2. Step 2: Convert to fraction form
    82.64/123.40 = 76.97/x
  3. Step 3: Cross multiply
    82.64x = 123.40 × 76.97
  4. Step 4: Simplify right side
    82.64x = 9,498.10
  5. Step 5: Solve for x
    x = 9,498.10/82.64
  6. Step 6: Final answer
    x = 114.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.