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Finding the Fourth Proportional to 203.84, 304.33 and 171.44

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Solution

The fourth proportional to 203.84, 304.33 and 171.44 is: 255.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.84 : 304.33 = 171.44 : x
  2. Step 2: Convert to fraction form
    203.84/304.33 = 171.44/x
  3. Step 3: Cross multiply
    203.84x = 304.33 × 171.44
  4. Step 4: Simplify right side
    203.84x = 52,174.34
  5. Step 5: Solve for x
    x = 52,174.34/203.84
  6. Step 6: Final answer
    x = 255.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.