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Finding the Fourth Proportional to 422.60, 632.25 and 278.60

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Solution

The fourth proportional to 422.60, 632.25 and 278.60 is: 416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.60 : 632.25 = 278.60 : x
  2. Step 2: Convert to fraction form
    422.60/632.25 = 278.60/x
  3. Step 3: Cross multiply
    422.60x = 632.25 × 278.60
  4. Step 4: Simplify right side
    422.60x = 176,144.85
  5. Step 5: Solve for x
    x = 176,144.85/422.60
  6. Step 6: Final answer
    x = 416.81

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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.