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Finding the Fourth Proportional to 38.55, 57.57 and 33.42

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Solution

The fourth proportional to 38.55, 57.57 and 33.42 is: 49.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.55 : 57.57 = 33.42 : x
  2. Step 2: Convert to fraction form
    38.55/57.57 = 33.42/x
  3. Step 3: Cross multiply
    38.55x = 57.57 × 33.42
  4. Step 4: Simplify right side
    38.55x = 1,923.99
  5. Step 5: Solve for x
    x = 1,923.99/38.55
  6. Step 6: Final answer
    x = 49.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.