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Finding the Fourth Proportional to 256.67, 354.21 and 140.24

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Solution

The fourth proportional to 256.67, 354.21 and 140.24 is: 193.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.67 : 354.21 = 140.24 : x
  2. Step 2: Convert to fraction form
    256.67/354.21 = 140.24/x
  3. Step 3: Cross multiply
    256.67x = 354.21 × 140.24
  4. Step 4: Simplify right side
    256.67x = 49,672.51
  5. Step 5: Solve for x
    x = 49,672.51/256.67
  6. Step 6: Final answer
    x = 193.52

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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.