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Finding the Fourth Proportional to 31.04, 42.61 and 27.56

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Solution

The fourth proportional to 31.04, 42.61 and 27.56 is: 37.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.04 : 42.61 = 27.56 : x
  2. Step 2: Convert to fraction form
    31.04/42.61 = 27.56/x
  3. Step 3: Cross multiply
    31.04x = 42.61 × 27.56
  4. Step 4: Simplify right side
    31.04x = 1,174.33
  5. Step 5: Solve for x
    x = 1,174.33/31.04
  6. Step 6: Final answer
    x = 37.83

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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.