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Finding the Fourth Proportional to 46.93, 69.83 and 46.78

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Solution

The fourth proportional to 46.93, 69.83 and 46.78 is: 69.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.93 : 69.83 = 46.78 : x
  2. Step 2: Convert to fraction form
    46.93/69.83 = 46.78/x
  3. Step 3: Cross multiply
    46.93x = 69.83 × 46.78
  4. Step 4: Simplify right side
    46.93x = 3,266.65
  5. Step 5: Solve for x
    x = 3,266.65/46.93
  6. Step 6: Final answer
    x = 69.61

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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.