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Finding the Fourth Proportional to 256.42, 384.22 and 111.97

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Solution

The fourth proportional to 256.42, 384.22 and 111.97 is: 167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.42 : 384.22 = 111.97 : x
  2. Step 2: Convert to fraction form
    256.42/384.22 = 111.97/x
  3. Step 3: Cross multiply
    256.42x = 384.22 × 111.97
  4. Step 4: Simplify right side
    256.42x = 43,021.11
  5. Step 5: Solve for x
    x = 43,021.11/256.42
  6. Step 6: Final answer
    x = 167.78

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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.