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Finding the Fourth Proportional to 46.82, 69.69 and 46.17

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Solution

The fourth proportional to 46.82, 69.69 and 46.17 is: 68.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.82 : 69.69 = 46.17 : x
  2. Step 2: Convert to fraction form
    46.82/69.69 = 46.17/x
  3. Step 3: Cross multiply
    46.82x = 69.69 × 46.17
  4. Step 4: Simplify right side
    46.82x = 3,217.01
  5. Step 5: Solve for x
    x = 3,217.01/46.82
  6. Step 6: Final answer
    x = 68.72

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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.