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Finding the Fourth Proportional to 37.11, 55.39 and 34.81

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Solution

The fourth proportional to 37.11, 55.39 and 34.81 is: 51.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.11 : 55.39 = 34.81 : x
  2. Step 2: Convert to fraction form
    37.11/55.39 = 34.81/x
  3. Step 3: Cross multiply
    37.11x = 55.39 × 34.81
  4. Step 4: Simplify right side
    37.11x = 1,928.13
  5. Step 5: Solve for x
    x = 1,928.13/37.11
  6. Step 6: Final answer
    x = 51.96

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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.