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Finding the Fourth Proportional to 339.20, 506.56 and 269.36

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Solution

The fourth proportional to 339.20, 506.56 and 269.36 is: 402.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.20 : 506.56 = 269.36 : x
  2. Step 2: Convert to fraction form
    339.20/506.56 = 269.36/x
  3. Step 3: Cross multiply
    339.20x = 506.56 × 269.36
  4. Step 4: Simplify right side
    339.20x = 136,447.00
  5. Step 5: Solve for x
    x = 136,447.00/339.20
  6. Step 6: Final answer
    x = 402.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.