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Finding the Fourth Proportional to 256.80, 354.24 and 186.78

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Solution

The fourth proportional to 256.80, 354.24 and 186.78 is: 257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.80 : 354.24 = 186.78 : x
  2. Step 2: Convert to fraction form
    256.80/354.24 = 186.78/x
  3. Step 3: Cross multiply
    256.80x = 354.24 × 186.78
  4. Step 4: Simplify right side
    256.80x = 66,164.95
  5. Step 5: Solve for x
    x = 66,164.95/256.80
  6. Step 6: Final answer
    x = 257.65

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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.