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Finding the Fourth Proportional to 306.44, 423.06 and 203.24

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Solution

The fourth proportional to 306.44, 423.06 and 203.24 is: 280.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.44 : 423.06 = 203.24 : x
  2. Step 2: Convert to fraction form
    306.44/423.06 = 203.24/x
  3. Step 3: Cross multiply
    306.44x = 423.06 × 203.24
  4. Step 4: Simplify right side
    306.44x = 85,982.71
  5. Step 5: Solve for x
    x = 85,982.71/306.44
  6. Step 6: Final answer
    x = 280.59

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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.