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Finding the Fourth Proportional to 268.74, 400.56 and 259.85

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Solution

The fourth proportional to 268.74, 400.56 and 259.85 is: 387.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.74 : 400.56 = 259.85 : x
  2. Step 2: Convert to fraction form
    268.74/400.56 = 259.85/x
  3. Step 3: Cross multiply
    268.74x = 400.56 × 259.85
  4. Step 4: Simplify right side
    268.74x = 104,086.52
  5. Step 5: Solve for x
    x = 104,086.52/268.74
  6. Step 6: Final answer
    x = 387.31

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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.