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Finding the Fourth Proportional to 122.78, 185.08 and 114.95

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Solution

The fourth proportional to 122.78, 185.08 and 114.95 is: 173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.78 : 185.08 = 114.95 : x
  2. Step 2: Convert to fraction form
    122.78/185.08 = 114.95/x
  3. Step 3: Cross multiply
    122.78x = 185.08 × 114.95
  4. Step 4: Simplify right side
    122.78x = 21,274.02
  5. Step 5: Solve for x
    x = 21,274.02/122.78
  6. Step 6: Final answer
    x = 173.28

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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.