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Finding the Fourth Proportional to 323.26, 487.08 and 266.74

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Solution

The fourth proportional to 323.26, 487.08 and 266.74 is: 401.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.26 : 487.08 = 266.74 : x
  2. Step 2: Convert to fraction form
    323.26/487.08 = 266.74/x
  3. Step 3: Cross multiply
    323.26x = 487.08 × 266.74
  4. Step 4: Simplify right side
    323.26x = 129,923.72
  5. Step 5: Solve for x
    x = 129,923.72/323.26
  6. Step 6: Final answer
    x = 401.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.