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Finding the Fourth Proportional to 272.64, 409.04 and 135.75

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Solution

The fourth proportional to 272.64, 409.04 and 135.75 is: 203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.64 : 409.04 = 135.75 : x
  2. Step 2: Convert to fraction form
    272.64/409.04 = 135.75/x
  3. Step 3: Cross multiply
    272.64x = 409.04 × 135.75
  4. Step 4: Simplify right side
    272.64x = 55,527.52
  5. Step 5: Solve for x
    x = 55,527.52/272.64
  6. Step 6: Final answer
    x = 203.66

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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.