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Finding the Fourth Proportional to 269.46, 406.76 and 266.58

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Solution

The fourth proportional to 269.46, 406.76 and 266.58 is: 402.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.46 : 406.76 = 266.58 : x
  2. Step 2: Convert to fraction form
    269.46/406.76 = 266.58/x
  3. Step 3: Cross multiply
    269.46x = 406.76 × 266.58
  4. Step 4: Simplify right side
    269.46x = 108,432.75
  5. Step 5: Solve for x
    x = 108,432.75/269.46
  6. Step 6: Final answer
    x = 402.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.