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Finding the Fourth Proportional to 118.30, 163.08 and 88.74

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Solution

The fourth proportional to 118.30, 163.08 and 88.74 is: 122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.30 : 163.08 = 88.74 : x
  2. Step 2: Convert to fraction form
    118.30/163.08 = 88.74/x
  3. Step 3: Cross multiply
    118.30x = 163.08 × 88.74
  4. Step 4: Simplify right side
    118.30x = 14,471.72
  5. Step 5: Solve for x
    x = 14,471.72/118.30
  6. Step 6: Final answer
    x = 122.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.