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Finding the Fourth Proportional to 422.74, 632.91 and 276.66

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Solution

The fourth proportional to 422.74, 632.91 and 276.66 is: 414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.74 : 632.91 = 276.66 : x
  2. Step 2: Convert to fraction form
    422.74/632.91 = 276.66/x
  3. Step 3: Cross multiply
    422.74x = 632.91 × 276.66
  4. Step 4: Simplify right side
    422.74x = 175,100.88
  5. Step 5: Solve for x
    x = 175,100.88/422.74
  6. Step 6: Final answer
    x = 414.20

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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.