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Finding the Fourth Proportional to 307.97, 425.12 and 203.11

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Solution

The fourth proportional to 307.97, 425.12 and 203.11 is: 280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.97 : 425.12 = 203.11 : x
  2. Step 2: Convert to fraction form
    307.97/425.12 = 203.11/x
  3. Step 3: Cross multiply
    307.97x = 425.12 × 203.11
  4. Step 4: Simplify right side
    307.97x = 86,345.57
  5. Step 5: Solve for x
    x = 86,345.57/307.97
  6. Step 6: Final answer
    x = 280.37

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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.