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Finding the Fourth Proportional to 82.31, 112.01 and 81.90

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Solution

The fourth proportional to 82.31, 112.01 and 81.90 is: 111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.31 : 112.01 = 81.90 : x
  2. Step 2: Convert to fraction form
    82.31/112.01 = 81.90/x
  3. Step 3: Cross multiply
    82.31x = 112.01 × 81.90
  4. Step 4: Simplify right side
    82.31x = 9,173.21
  5. Step 5: Solve for x
    x = 9,173.21/82.31
  6. Step 6: Final answer
    x = 111.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.