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Finding the Fourth Proportional to 37.55, 52.09 and 36.18

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Solution

The fourth proportional to 37.55, 52.09 and 36.18 is: 50.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.55 : 52.09 = 36.18 : x
  2. Step 2: Convert to fraction form
    37.55/52.09 = 36.18/x
  3. Step 3: Cross multiply
    37.55x = 52.09 × 36.18
  4. Step 4: Simplify right side
    37.55x = 1,884.53
  5. Step 5: Solve for x
    x = 1,884.53/37.55
  6. Step 6: Final answer
    x = 50.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.