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Finding the Fourth Proportional to 84.98, 126.86 and 65.61

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Solution

The fourth proportional to 84.98, 126.86 and 65.61 is: 97.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.98 : 126.86 = 65.61 : x
  2. Step 2: Convert to fraction form
    84.98/126.86 = 65.61/x
  3. Step 3: Cross multiply
    84.98x = 126.86 × 65.61
  4. Step 4: Simplify right side
    84.98x = 8,323.28
  5. Step 5: Solve for x
    x = 8,323.28/84.98
  6. Step 6: Final answer
    x = 97.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.