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Finding the Fourth Proportional to 37.22, 51.26 and 34.78

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Solution

The fourth proportional to 37.22, 51.26 and 34.78 is: 47.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.22 : 51.26 = 34.78 : x
  2. Step 2: Convert to fraction form
    37.22/51.26 = 34.78/x
  3. Step 3: Cross multiply
    37.22x = 51.26 × 34.78
  4. Step 4: Simplify right side
    37.22x = 1,782.82
  5. Step 5: Solve for x
    x = 1,782.82/37.22
  6. Step 6: Final answer
    x = 47.90

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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.