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Finding the Fourth Proportional to 33.78, 46.59 and 22.84

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Solution

The fourth proportional to 33.78, 46.59 and 22.84 is: 31.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.78 : 46.59 = 22.84 : x
  2. Step 2: Convert to fraction form
    33.78/46.59 = 22.84/x
  3. Step 3: Cross multiply
    33.78x = 46.59 × 22.84
  4. Step 4: Simplify right side
    33.78x = 1,064.12
  5. Step 5: Solve for x
    x = 1,064.12/33.78
  6. Step 6: Final answer
    x = 31.50

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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.