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Finding the Fourth Proportional to 82.74, 113.72 and 74.36

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Solution

The fourth proportional to 82.74, 113.72 and 74.36 is: 102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.74 : 113.72 = 74.36 : x
  2. Step 2: Convert to fraction form
    82.74/113.72 = 74.36/x
  3. Step 3: Cross multiply
    82.74x = 113.72 × 74.36
  4. Step 4: Simplify right side
    82.74x = 8,456.22
  5. Step 5: Solve for x
    x = 8,456.22/82.74
  6. Step 6: Final answer
    x = 102.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.