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Finding the Fourth Proportional to 118.98, 178.21 and 57.19

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Solution

The fourth proportional to 118.98, 178.21 and 57.19 is: 85.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.98 : 178.21 = 57.19 : x
  2. Step 2: Convert to fraction form
    118.98/178.21 = 57.19/x
  3. Step 3: Cross multiply
    118.98x = 178.21 × 57.19
  4. Step 4: Simplify right side
    118.98x = 10,191.62
  5. Step 5: Solve for x
    x = 10,191.62/118.98
  6. Step 6: Final answer
    x = 85.66

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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.