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Finding the Fourth Proportional to 37.46, 55.92 and 30.11

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Solution

The fourth proportional to 37.46, 55.92 and 30.11 is: 44.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.46 : 55.92 = 30.11 : x
  2. Step 2: Convert to fraction form
    37.46/55.92 = 30.11/x
  3. Step 3: Cross multiply
    37.46x = 55.92 × 30.11
  4. Step 4: Simplify right side
    37.46x = 1,683.58
  5. Step 5: Solve for x
    x = 1,683.58/37.46
  6. Step 6: Final answer
    x = 44.94

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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.