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Finding the Fourth Proportional to 67.77, 101.66 and 33.53

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Solution

The fourth proportional to 67.77, 101.66 and 33.53 is: 50.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.77 : 101.66 = 33.53 : x
  2. Step 2: Convert to fraction form
    67.77/101.66 = 33.53/x
  3. Step 3: Cross multiply
    67.77x = 101.66 × 33.53
  4. Step 4: Simplify right side
    67.77x = 3,407.98
  5. Step 5: Solve for x
    x = 3,407.98/67.77
  6. Step 6: Final answer
    x = 50.28

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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.