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Finding the Fourth Proportional to 256.86, 354.47 and 140.42

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Solution

The fourth proportional to 256.86, 354.47 and 140.42 is: 193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.86 : 354.47 = 140.42 : x
  2. Step 2: Convert to fraction form
    256.86/354.47 = 140.42/x
  3. Step 3: Cross multiply
    256.86x = 354.47 × 140.42
  4. Step 4: Simplify right side
    256.86x = 49,774.86
  5. Step 5: Solve for x
    x = 49,774.86/256.86
  6. Step 6: Final answer
    x = 193.78

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