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Finding the Fourth Proportional to 88.82, 122.50 and 66.95

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Solution

The fourth proportional to 88.82, 122.50 and 66.95 is: 92.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.82 : 122.50 = 66.95 : x
  2. Step 2: Convert to fraction form
    88.82/122.50 = 66.95/x
  3. Step 3: Cross multiply
    88.82x = 122.50 × 66.95
  4. Step 4: Simplify right side
    88.82x = 8,200.43
  5. Step 5: Solve for x
    x = 8,200.43/88.82
  6. Step 6: Final answer
    x = 92.33

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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.