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Finding the Fourth Proportional to 393.58, 542.68 and 269.29

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Solution

The fourth proportional to 393.58, 542.68 and 269.29 is: 371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.58 : 542.68 = 269.29 : x
  2. Step 2: Convert to fraction form
    393.58/542.68 = 269.29/x
  3. Step 3: Cross multiply
    393.58x = 542.68 × 269.29
  4. Step 4: Simplify right side
    393.58x = 146,138.30
  5. Step 5: Solve for x
    x = 146,138.30/393.58
  6. Step 6: Final answer
    x = 371.31

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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.