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Finding the Fourth Proportional to 203.26, 304.95 and 81.56

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Solution

The fourth proportional to 203.26, 304.95 and 81.56 is: 122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.26 : 304.95 = 81.56 : x
  2. Step 2: Convert to fraction form
    203.26/304.95 = 81.56/x
  3. Step 3: Cross multiply
    203.26x = 304.95 × 81.56
  4. Step 4: Simplify right side
    203.26x = 24,871.72
  5. Step 5: Solve for x
    x = 24,871.72/203.26
  6. Step 6: Final answer
    x = 122.36

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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.