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Finding the Fourth Proportional to 67.68, 101.49 and 27.07

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Solution

The fourth proportional to 67.68, 101.49 and 27.07 is: 40.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.68 : 101.49 = 27.07 : x
  2. Step 2: Convert to fraction form
    67.68/101.49 = 27.07/x
  3. Step 3: Cross multiply
    67.68x = 101.49 × 27.07
  4. Step 4: Simplify right side
    67.68x = 2,746.98
  5. Step 5: Solve for x
    x = 2,746.98/67.68
  6. Step 6: Final answer
    x = 40.59

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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.