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Finding the Fourth Proportional to 400.33, 552.59 and 269.31

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Solution

The fourth proportional to 400.33, 552.59 and 269.31 is: 371.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.33 : 552.59 = 269.31 : x
  2. Step 2: Convert to fraction form
    400.33/552.59 = 269.31/x
  3. Step 3: Cross multiply
    400.33x = 552.59 × 269.31
  4. Step 4: Simplify right side
    400.33x = 148,818.01
  5. Step 5: Solve for x
    x = 148,818.01/400.33
  6. Step 6: Final answer
    x = 371.74

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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.