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Finding the Fourth Proportional to 82.31, 113.67 and 73.26

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Solution

The fourth proportional to 82.31, 113.67 and 73.26 is: 101.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.31 : 113.67 = 73.26 : x
  2. Step 2: Convert to fraction form
    82.31/113.67 = 73.26/x
  3. Step 3: Cross multiply
    82.31x = 113.67 × 73.26
  4. Step 4: Simplify right side
    82.31x = 8,327.46
  5. Step 5: Solve for x
    x = 8,327.46/82.31
  6. Step 6: Final answer
    x = 101.18

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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.