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Finding the Fourth Proportional to 122.82, 185.28 and 118.05

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Solution

The fourth proportional to 122.82, 185.28 and 118.05 is: 178.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.82 : 185.28 = 118.05 : x
  2. Step 2: Convert to fraction form
    122.82/185.28 = 118.05/x
  3. Step 3: Cross multiply
    122.82x = 185.28 × 118.05
  4. Step 4: Simplify right side
    122.82x = 21,872.30
  5. Step 5: Solve for x
    x = 21,872.30/122.82
  6. Step 6: Final answer
    x = 178.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.