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Finding the Fourth Proportional to 33.78, 46.50 and 31.20

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Solution

The fourth proportional to 33.78, 46.50 and 31.20 is: 42.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.78 : 46.50 = 31.20 : x
  2. Step 2: Convert to fraction form
    33.78/46.50 = 31.20/x
  3. Step 3: Cross multiply
    33.78x = 46.50 × 31.20
  4. Step 4: Simplify right side
    33.78x = 1,450.80
  5. Step 5: Solve for x
    x = 1,450.80/33.78
  6. Step 6: Final answer
    x = 42.95

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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.