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Finding the Fourth Proportional to 46.91, 69.84 and 46.69

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Solution

The fourth proportional to 46.91, 69.84 and 46.69 is: 69.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.91 : 69.84 = 46.69 : x
  2. Step 2: Convert to fraction form
    46.91/69.84 = 46.69/x
  3. Step 3: Cross multiply
    46.91x = 69.84 × 46.69
  4. Step 4: Simplify right side
    46.91x = 3,260.77
  5. Step 5: Solve for x
    x = 3,260.77/46.91
  6. Step 6: Final answer
    x = 69.51

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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.