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Finding the Fourth Proportional to 34.91, 52.05 and 31.67

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Solution

The fourth proportional to 34.91, 52.05 and 31.67 is: 47.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.91 : 52.05 = 31.67 : x
  2. Step 2: Convert to fraction form
    34.91/52.05 = 31.67/x
  3. Step 3: Cross multiply
    34.91x = 52.05 × 31.67
  4. Step 4: Simplify right side
    34.91x = 1,648.42
  5. Step 5: Solve for x
    x = 1,648.42/34.91
  6. Step 6: Final answer
    x = 47.22

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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.