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Finding the Fourth Proportional to 118.46, 178.00 and 60.75

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Solution

The fourth proportional to 118.46, 178.00 and 60.75 is: 91.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.46 : 178.00 = 60.75 : x
  2. Step 2: Convert to fraction form
    118.46/178.00 = 60.75/x
  3. Step 3: Cross multiply
    118.46x = 178.00 × 60.75
  4. Step 4: Simplify right side
    118.46x = 10,813.35
  5. Step 5: Solve for x
    x = 10,813.35/118.46
  6. Step 6: Final answer
    x = 91.28

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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.