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Finding the Fourth Proportional to 425.39, 636.37 and 315.64

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Solution

The fourth proportional to 425.39, 636.37 and 315.64 is: 472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.39 : 636.37 = 315.64 : x
  2. Step 2: Convert to fraction form
    425.39/636.37 = 315.64/x
  3. Step 3: Cross multiply
    425.39x = 636.37 × 315.64
  4. Step 4: Simplify right side
    425.39x = 200,861.45
  5. Step 5: Solve for x
    x = 200,861.45/425.39
  6. Step 6: Final answer
    x = 472.18

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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.