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Finding the Fourth Proportional to 33.70, 46.68 and 32.90

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Solution

The fourth proportional to 33.70, 46.68 and 32.90 is: 45.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.70 : 46.68 = 32.90 : x
  2. Step 2: Convert to fraction form
    33.70/46.68 = 32.90/x
  3. Step 3: Cross multiply
    33.70x = 46.68 × 32.90
  4. Step 4: Simplify right side
    33.70x = 1,535.85
  5. Step 5: Solve for x
    x = 1,535.85/33.70
  6. Step 6: Final answer
    x = 45.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.