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Finding the Fourth Proportional to 26.28, 36.17 and 22.63

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Solution

The fourth proportional to 26.28, 36.17 and 22.63 is: 31.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.28 : 36.17 = 22.63 : x
  2. Step 2: Convert to fraction form
    26.28/36.17 = 22.63/x
  3. Step 3: Cross multiply
    26.28x = 36.17 × 22.63
  4. Step 4: Simplify right side
    26.28x = 818.53
  5. Step 5: Solve for x
    x = 818.53/26.28
  6. Step 6: Final answer
    x = 31.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.