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Finding the Fourth Proportional to 425.36, 638.02 and 209.08

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Solution

The fourth proportional to 425.36, 638.02 and 209.08 is: 313.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.36 : 638.02 = 209.08 : x
  2. Step 2: Convert to fraction form
    425.36/638.02 = 209.08/x
  3. Step 3: Cross multiply
    425.36x = 638.02 × 209.08
  4. Step 4: Simplify right side
    425.36x = 133,397.22
  5. Step 5: Solve for x
    x = 133,397.22/425.36
  6. Step 6: Final answer
    x = 313.61

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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.