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Finding the Fourth Proportional to 38.31, 53.16 and 36.65

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Solution

The fourth proportional to 38.31, 53.16 and 36.65 is: 50.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.31 : 53.16 = 36.65 : x
  2. Step 2: Convert to fraction form
    38.31/53.16 = 36.65/x
  3. Step 3: Cross multiply
    38.31x = 53.16 × 36.65
  4. Step 4: Simplify right side
    38.31x = 1,948.31
  5. Step 5: Solve for x
    x = 1,948.31/38.31
  6. Step 6: Final answer
    x = 50.86

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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.