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Finding the Fourth Proportional to 42.20, 58.22 and 26.66

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Solution

The fourth proportional to 42.20, 58.22 and 26.66 is: 36.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.20 : 58.22 = 26.66 : x
  2. Step 2: Convert to fraction form
    42.20/58.22 = 26.66/x
  3. Step 3: Cross multiply
    42.20x = 58.22 × 26.66
  4. Step 4: Simplify right side
    42.20x = 1,552.15
  5. Step 5: Solve for x
    x = 1,552.15/42.20
  6. Step 6: Final answer
    x = 36.78

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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.