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Finding the Fourth Proportional to 256.56, 385.16 and 169.97

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Solution

The fourth proportional to 256.56, 385.16 and 169.97 is: 255.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.56 : 385.16 = 169.97 : x
  2. Step 2: Convert to fraction form
    256.56/385.16 = 169.97/x
  3. Step 3: Cross multiply
    256.56x = 385.16 × 169.97
  4. Step 4: Simplify right side
    256.56x = 65,462.87
  5. Step 5: Solve for x
    x = 65,462.87/256.56
  6. Step 6: Final answer
    x = 255.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.