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Finding the Fourth Proportional to 285.82, 426.49 and 268.40

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Solution

The fourth proportional to 285.82, 426.49 and 268.40 is: 400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.82 : 426.49 = 268.40 : x
  2. Step 2: Convert to fraction form
    285.82/426.49 = 268.40/x
  3. Step 3: Cross multiply
    285.82x = 426.49 × 268.40
  4. Step 4: Simplify right side
    285.82x = 114,470.31
  5. Step 5: Solve for x
    x = 114,470.31/285.82
  6. Step 6: Final answer
    x = 400.50

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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.