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Finding the Fourth Proportional to 269.68, 402.37 and 263.74

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Solution

The fourth proportional to 269.68, 402.37 and 263.74 is: 393.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.68 : 402.37 = 263.74 : x
  2. Step 2: Convert to fraction form
    269.68/402.37 = 263.74/x
  3. Step 3: Cross multiply
    269.68x = 402.37 × 263.74
  4. Step 4: Simplify right side
    269.68x = 106,121.06
  5. Step 5: Solve for x
    x = 106,121.06/269.68
  6. Step 6: Final answer
    x = 393.51

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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.