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Finding the Fourth Proportional to 67.71, 101.58 and 33.48

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Solution

The fourth proportional to 67.71, 101.58 and 33.48 is: 50.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.71 : 101.58 = 33.48 : x
  2. Step 2: Convert to fraction form
    67.71/101.58 = 33.48/x
  3. Step 3: Cross multiply
    67.71x = 101.58 × 33.48
  4. Step 4: Simplify right side
    67.71x = 3,400.90
  5. Step 5: Solve for x
    x = 3,400.90/67.71
  6. Step 6: Final answer
    x = 50.23

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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.