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Finding the Fourth Proportional to 49.83, 74.33 and 46.73

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Solution

The fourth proportional to 49.83, 74.33 and 46.73 is: 69.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.83 : 74.33 = 46.73 : x
  2. Step 2: Convert to fraction form
    49.83/74.33 = 46.73/x
  3. Step 3: Cross multiply
    49.83x = 74.33 × 46.73
  4. Step 4: Simplify right side
    49.83x = 3,472.84
  5. Step 5: Solve for x
    x = 3,472.84/49.83
  6. Step 6: Final answer
    x = 69.69

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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.