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Finding the Fourth Proportional to 422.15, 630.42 and 360.78

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Solution

The fourth proportional to 422.15, 630.42 and 360.78 is: 538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.15 : 630.42 = 360.78 : x
  2. Step 2: Convert to fraction form
    422.15/630.42 = 360.78/x
  3. Step 3: Cross multiply
    422.15x = 630.42 × 360.78
  4. Step 4: Simplify right side
    422.15x = 227,442.93
  5. Step 5: Solve for x
    x = 227,442.93/422.15
  6. Step 6: Final answer
    x = 538.78

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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.