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Finding the Fourth Proportional to 37.05, 55.19 and 36.89

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Solution

The fourth proportional to 37.05, 55.19 and 36.89 is: 54.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.05 : 55.19 = 36.89 : x
  2. Step 2: Convert to fraction form
    37.05/55.19 = 36.89/x
  3. Step 3: Cross multiply
    37.05x = 55.19 × 36.89
  4. Step 4: Simplify right side
    37.05x = 2,035.50
  5. Step 5: Solve for x
    x = 2,035.50/37.05
  6. Step 6: Final answer
    x = 54.94

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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.