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Finding the Fourth Proportional to 26.85, 37.22 and 26.35

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Solution

The fourth proportional to 26.85, 37.22 and 26.35 is: 36.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.85 : 37.22 = 26.35 : x
  2. Step 2: Convert to fraction form
    26.85/37.22 = 26.35/x
  3. Step 3: Cross multiply
    26.85x = 37.22 × 26.35
  4. Step 4: Simplify right side
    26.85x = 980.75
  5. Step 5: Solve for x
    x = 980.75/26.85
  6. Step 6: Final answer
    x = 36.53

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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.