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Finding the Fourth Proportional to 272.27, 408.10 and 135.42

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Solution

The fourth proportional to 272.27, 408.10 and 135.42 is: 202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.27 : 408.10 = 135.42 : x
  2. Step 2: Convert to fraction form
    272.27/408.10 = 135.42/x
  3. Step 3: Cross multiply
    272.27x = 408.10 × 135.42
  4. Step 4: Simplify right side
    272.27x = 55,264.90
  5. Step 5: Solve for x
    x = 55,264.90/272.27
  6. Step 6: Final answer
    x = 202.98

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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.