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Finding the Fourth Proportional to 201.75, 302.48 and 71.74

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Solution

The fourth proportional to 201.75, 302.48 and 71.74 is: 107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.75 : 302.48 = 71.74 : x
  2. Step 2: Convert to fraction form
    201.75/302.48 = 71.74/x
  3. Step 3: Cross multiply
    201.75x = 302.48 × 71.74
  4. Step 4: Simplify right side
    201.75x = 21,699.92
  5. Step 5: Solve for x
    x = 21,699.92/201.75
  6. Step 6: Final answer
    x = 107.56

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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.