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Finding the Fourth Proportional to 34.22, 51.09 and 31.72

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Solution

The fourth proportional to 34.22, 51.09 and 31.72 is: 47.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.22 : 51.09 = 31.72 : x
  2. Step 2: Convert to fraction form
    34.22/51.09 = 31.72/x
  3. Step 3: Cross multiply
    34.22x = 51.09 × 31.72
  4. Step 4: Simplify right side
    34.22x = 1,620.42
  5. Step 5: Solve for x
    x = 1,620.42/34.22
  6. Step 6: Final answer
    x = 47.35

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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.