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Finding the Fourth Proportional to 386.43, 532.51 and 269.79

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Solution

The fourth proportional to 386.43, 532.51 and 269.79 is: 371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.43 : 532.51 = 269.79 : x
  2. Step 2: Convert to fraction form
    386.43/532.51 = 269.79/x
  3. Step 3: Cross multiply
    386.43x = 532.51 × 269.79
  4. Step 4: Simplify right side
    386.43x = 143,665.87
  5. Step 5: Solve for x
    x = 143,665.87/386.43
  6. Step 6: Final answer
    x = 371.78

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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.