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Finding the Fourth Proportional to 307.91, 425.25 and 209.49

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Solution

The fourth proportional to 307.91, 425.25 and 209.49 is: 289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.91 : 425.25 = 209.49 : x
  2. Step 2: Convert to fraction form
    307.91/425.25 = 209.49/x
  3. Step 3: Cross multiply
    307.91x = 425.25 × 209.49
  4. Step 4: Simplify right side
    307.91x = 89,085.62
  5. Step 5: Solve for x
    x = 89,085.62/307.91
  6. Step 6: Final answer
    x = 289.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.