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Finding the Fourth Proportional to 82.56, 113.78 and 60.69

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Solution

The fourth proportional to 82.56, 113.78 and 60.69 is: 83.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.56 : 113.78 = 60.69 : x
  2. Step 2: Convert to fraction form
    82.56/113.78 = 60.69/x
  3. Step 3: Cross multiply
    82.56x = 113.78 × 60.69
  4. Step 4: Simplify right side
    82.56x = 6,905.31
  5. Step 5: Solve for x
    x = 6,905.31/82.56
  6. Step 6: Final answer
    x = 83.64

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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.