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Finding the Fourth Proportional to 185.95, 256.65 and 123.78

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Solution

The fourth proportional to 185.95, 256.65 and 123.78 is: 170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.95 : 256.65 = 123.78 : x
  2. Step 2: Convert to fraction form
    185.95/256.65 = 123.78/x
  3. Step 3: Cross multiply
    185.95x = 256.65 × 123.78
  4. Step 4: Simplify right side
    185.95x = 31,769.33
  5. Step 5: Solve for x
    x = 31,769.33/185.95
  6. Step 6: Final answer
    x = 170.85

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Why These Related Problems?

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