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Finding the Fourth Proportional to 256.54, 353.78 and 187.06

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Solution

The fourth proportional to 256.54, 353.78 and 187.06 is: 257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.54 : 353.78 = 187.06 : x
  2. Step 2: Convert to fraction form
    256.54/353.78 = 187.06/x
  3. Step 3: Cross multiply
    256.54x = 353.78 × 187.06
  4. Step 4: Simplify right side
    256.54x = 66,178.09
  5. Step 5: Solve for x
    x = 66,178.09/256.54
  6. Step 6: Final answer
    x = 257.96

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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.