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Finding the Fourth Proportional to 109.17, 163.51 and 88.78

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Solution

The fourth proportional to 109.17, 163.51 and 88.78 is: 132.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.17 : 163.51 = 88.78 : x
  2. Step 2: Convert to fraction form
    109.17/163.51 = 88.78/x
  3. Step 3: Cross multiply
    109.17x = 163.51 × 88.78
  4. Step 4: Simplify right side
    109.17x = 14,515.97
  5. Step 5: Solve for x
    x = 14,515.97/109.17
  6. Step 6: Final answer
    x = 132.97

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Why These Related Problems?

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