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Finding the Fourth Proportional to 40.77, 60.97 and 33.02

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Solution

The fourth proportional to 40.77, 60.97 and 33.02 is: 49.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.77 : 60.97 = 33.02 : x
  2. Step 2: Convert to fraction form
    40.77/60.97 = 33.02/x
  3. Step 3: Cross multiply
    40.77x = 60.97 × 33.02
  4. Step 4: Simplify right side
    40.77x = 2,013.23
  5. Step 5: Solve for x
    x = 2,013.23/40.77
  6. Step 6: Final answer
    x = 49.38

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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.