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Finding the Fourth Proportional to 201.44, 302.05 and 71.43

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Solution

The fourth proportional to 201.44, 302.05 and 71.43 is: 107.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.44 : 302.05 = 71.43 : x
  2. Step 2: Convert to fraction form
    201.44/302.05 = 71.43/x
  3. Step 3: Cross multiply
    201.44x = 302.05 × 71.43
  4. Step 4: Simplify right side
    201.44x = 21,575.43
  5. Step 5: Solve for x
    x = 21,575.43/201.44
  6. Step 6: Final answer
    x = 107.11

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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.