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Finding the Fourth Proportional to 425.15, 636.51 and 278.42

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Solution

The fourth proportional to 425.15, 636.51 and 278.42 is: 416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.15 : 636.51 = 278.42 : x
  2. Step 2: Convert to fraction form
    425.15/636.51 = 278.42/x
  3. Step 3: Cross multiply
    425.15x = 636.51 × 278.42
  4. Step 4: Simplify right side
    425.15x = 177,217.11
  5. Step 5: Solve for x
    x = 177,217.11/425.15
  6. Step 6: Final answer
    x = 416.83

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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.