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Finding the Fourth Proportional to 38.08, 52.16 and 37.12

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Solution

The fourth proportional to 38.08, 52.16 and 37.12 is: 50.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.08 : 52.16 = 37.12 : x
  2. Step 2: Convert to fraction form
    38.08/52.16 = 37.12/x
  3. Step 3: Cross multiply
    38.08x = 52.16 × 37.12
  4. Step 4: Simplify right side
    38.08x = 1,936.18
  5. Step 5: Solve for x
    x = 1,936.18/38.08
  6. Step 6: Final answer
    x = 50.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.