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Finding the Fourth Proportional to 400.46, 552.33 and 269.42

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Solution

The fourth proportional to 400.46, 552.33 and 269.42 is: 371.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.46 : 552.33 = 269.42 : x
  2. Step 2: Convert to fraction form
    400.46/552.33 = 269.42/x
  3. Step 3: Cross multiply
    400.46x = 552.33 × 269.42
  4. Step 4: Simplify right side
    400.46x = 148,808.75
  5. Step 5: Solve for x
    x = 148,808.75/400.46
  6. Step 6: Final answer
    x = 371.59

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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.