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Finding the Fourth Proportional to 306.74, 423.25 and 203.22

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Solution

The fourth proportional to 306.74, 423.25 and 203.22 is: 280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.74 : 423.25 = 203.22 : x
  2. Step 2: Convert to fraction form
    306.74/423.25 = 203.22/x
  3. Step 3: Cross multiply
    306.74x = 423.25 × 203.22
  4. Step 4: Simplify right side
    306.74x = 86,012.87
  5. Step 5: Solve for x
    x = 86,012.87/306.74
  6. Step 6: Final answer
    x = 280.41

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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.