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Finding the Fourth Proportional to 27.11, 37.16 and 26.65

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Solution

The fourth proportional to 27.11, 37.16 and 26.65 is: 36.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.11 : 37.16 = 26.65 : x
  2. Step 2: Convert to fraction form
    27.11/37.16 = 26.65/x
  3. Step 3: Cross multiply
    27.11x = 37.16 × 26.65
  4. Step 4: Simplify right side
    27.11x = 990.31
  5. Step 5: Solve for x
    x = 990.31/27.11
  6. Step 6: Final answer
    x = 36.53

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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.