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Finding the Fourth Proportional to 269.64, 402.82 and 176.34

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Solution

The fourth proportional to 269.64, 402.82 and 176.34 is: 263.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.64 : 402.82 = 176.34 : x
  2. Step 2: Convert to fraction form
    269.64/402.82 = 176.34/x
  3. Step 3: Cross multiply
    269.64x = 402.82 × 176.34
  4. Step 4: Simplify right side
    269.64x = 71,033.28
  5. Step 5: Solve for x
    x = 71,033.28/269.64
  6. Step 6: Final answer
    x = 263.44

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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.