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Finding the Fourth Proportional to 86.57, 129.85 and 22.44

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Solution

The fourth proportional to 86.57, 129.85 and 22.44 is: 33.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.57 : 129.85 = 22.44 : x
  2. Step 2: Convert to fraction form
    86.57/129.85 = 22.44/x
  3. Step 3: Cross multiply
    86.57x = 129.85 × 22.44
  4. Step 4: Simplify right side
    86.57x = 2,913.72
  5. Step 5: Solve for x
    x = 2,913.72/86.57
  6. Step 6: Final answer
    x = 33.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.