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Finding the Fourth Proportional to 1,001.92, 1,502.88 and 271.48

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Solution

The fourth proportional to 1,001.92, 1,502.88 and 271.48 is: 407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.92 : 1,502.88 = 271.48 : x
  2. Step 2: Convert to fraction form
    1,001.92/1,502.88 = 271.48/x
  3. Step 3: Cross multiply
    1,001.92x = 1,502.88 × 271.48
  4. Step 4: Simplify right side
    1,001.92x = 407,996.44
  5. Step 5: Solve for x
    x = 407,996.44/1,001.92
  6. Step 6: Final answer
    x = 407.21

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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.