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Finding the Fourth Proportional to 269.57, 401.45 and 260.46

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Solution

The fourth proportional to 269.57, 401.45 and 260.46 is: 387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.57 : 401.45 = 260.46 : x
  2. Step 2: Convert to fraction form
    269.57/401.45 = 260.46/x
  3. Step 3: Cross multiply
    269.57x = 401.45 × 260.46
  4. Step 4: Simplify right side
    269.57x = 104,559.66
  5. Step 5: Solve for x
    x = 104,559.66/269.57
  6. Step 6: Final answer
    x = 387.88

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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.