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Finding the Fourth Proportional to 69.78, 96.10 and 67.28

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Solution

The fourth proportional to 69.78, 96.10 and 67.28 is: 92.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.78 : 96.10 = 67.28 : x
  2. Step 2: Convert to fraction form
    69.78/96.10 = 67.28/x
  3. Step 3: Cross multiply
    69.78x = 96.10 × 67.28
  4. Step 4: Simplify right side
    69.78x = 6,465.61
  5. Step 5: Solve for x
    x = 6,465.61/69.78
  6. Step 6: Final answer
    x = 92.66

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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.