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Finding the Fourth Proportional to 92.97, 128.36 and 86.85

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Solution

The fourth proportional to 92.97, 128.36 and 86.85 is: 119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.97 : 128.36 = 86.85 : x
  2. Step 2: Convert to fraction form
    92.97/128.36 = 86.85/x
  3. Step 3: Cross multiply
    92.97x = 128.36 × 86.85
  4. Step 4: Simplify right side
    92.97x = 11,148.07
  5. Step 5: Solve for x
    x = 11,148.07/92.97
  6. Step 6: Final answer
    x = 119.91

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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.