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Finding the Fourth Proportional to 269.04, 402.60 and 207.78

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Solution

The fourth proportional to 269.04, 402.60 and 207.78 is: 310.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.04 : 402.60 = 207.78 : x
  2. Step 2: Convert to fraction form
    269.04/402.60 = 207.78/x
  3. Step 3: Cross multiply
    269.04x = 402.60 × 207.78
  4. Step 4: Simplify right side
    269.04x = 83,652.23
  5. Step 5: Solve for x
    x = 83,652.23/269.04
  6. Step 6: Final answer
    x = 310.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.