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Finding the Fourth Proportional to 256.82, 385.04 and 135.14

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Solution

The fourth proportional to 256.82, 385.04 and 135.14 is: 202.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.82 : 385.04 = 135.14 : x
  2. Step 2: Convert to fraction form
    256.82/385.04 = 135.14/x
  3. Step 3: Cross multiply
    256.82x = 385.04 × 135.14
  4. Step 4: Simplify right side
    256.82x = 52,032.72
  5. Step 5: Solve for x
    x = 52,032.72/256.82
  6. Step 6: Final answer
    x = 202.61

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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.