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Finding the Fourth Proportional to 82.97, 115.02 and 78.58

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Solution

The fourth proportional to 82.97, 115.02 and 78.58 is: 108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.97 : 115.02 = 78.58 : x
  2. Step 2: Convert to fraction form
    82.97/115.02 = 78.58/x
  3. Step 3: Cross multiply
    82.97x = 115.02 × 78.58
  4. Step 4: Simplify right side
    82.97x = 9,038.71
  5. Step 5: Solve for x
    x = 9,038.71/82.97
  6. Step 6: Final answer
    x = 108.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.