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Finding the Fourth Proportional to 26.65, 39.75 and 22.81

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Solution

The fourth proportional to 26.65, 39.75 and 22.81 is: 34.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.65 : 39.75 = 22.81 : x
  2. Step 2: Convert to fraction form
    26.65/39.75 = 22.81/x
  3. Step 3: Cross multiply
    26.65x = 39.75 × 22.81
  4. Step 4: Simplify right side
    26.65x = 906.70
  5. Step 5: Solve for x
    x = 906.70/26.65
  6. Step 6: Final answer
    x = 34.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.