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Finding the Fourth Proportional to 46.69, 69.91 and 33.82

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Solution

The fourth proportional to 46.69, 69.91 and 33.82 is: 50.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.69 : 69.91 = 33.82 : x
  2. Step 2: Convert to fraction form
    46.69/69.91 = 33.82/x
  3. Step 3: Cross multiply
    46.69x = 69.91 × 33.82
  4. Step 4: Simplify right side
    46.69x = 2,364.36
  5. Step 5: Solve for x
    x = 2,364.36/46.69
  6. Step 6: Final answer
    x = 50.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.