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Finding the Fourth Proportional to 400.26, 600.66 and 217.74

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Solution

The fourth proportional to 400.26, 600.66 and 217.74 is: 326.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.26 : 600.66 = 217.74 : x
  2. Step 2: Convert to fraction form
    400.26/600.66 = 217.74/x
  3. Step 3: Cross multiply
    400.26x = 600.66 × 217.74
  4. Step 4: Simplify right side
    400.26x = 130,787.71
  5. Step 5: Solve for x
    x = 130,787.71/400.26
  6. Step 6: Final answer
    x = 326.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.