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Finding the Fourth Proportional to 269.20, 400.89 and 260.08

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Solution

The fourth proportional to 269.20, 400.89 and 260.08 is: 387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.20 : 400.89 = 260.08 : x
  2. Step 2: Convert to fraction form
    269.20/400.89 = 260.08/x
  3. Step 3: Cross multiply
    269.20x = 400.89 × 260.08
  4. Step 4: Simplify right side
    269.20x = 104,263.47
  5. Step 5: Solve for x
    x = 104,263.47/269.20
  6. Step 6: Final answer
    x = 387.32

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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.