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Finding the Fourth Proportional to 422.81, 633.92 and 203.31

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Solution

The fourth proportional to 422.81, 633.92 and 203.31 is: 304.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.81 : 633.92 = 203.31 : x
  2. Step 2: Convert to fraction form
    422.81/633.92 = 203.31/x
  3. Step 3: Cross multiply
    422.81x = 633.92 × 203.31
  4. Step 4: Simplify right side
    422.81x = 128,881.26
  5. Step 5: Solve for x
    x = 128,881.26/422.81
  6. Step 6: Final answer
    x = 304.82

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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.