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Finding the Fourth Proportional to 69.22, 95.61 and 61.48

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Solution

The fourth proportional to 69.22, 95.61 and 61.48 is: 84.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.22 : 95.61 = 61.48 : x
  2. Step 2: Convert to fraction form
    69.22/95.61 = 61.48/x
  3. Step 3: Cross multiply
    69.22x = 95.61 × 61.48
  4. Step 4: Simplify right side
    69.22x = 5,878.10
  5. Step 5: Solve for x
    x = 5,878.10/69.22
  6. Step 6: Final answer
    x = 84.92

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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.