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Finding the Fourth Proportional to 49.73, 68.22 and 45.65

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Solution

The fourth proportional to 49.73, 68.22 and 45.65 is: 62.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.73 : 68.22 = 45.65 : x
  2. Step 2: Convert to fraction form
    49.73/68.22 = 45.65/x
  3. Step 3: Cross multiply
    49.73x = 68.22 × 45.65
  4. Step 4: Simplify right side
    49.73x = 3,113.90
  5. Step 5: Solve for x
    x = 3,113.90/49.73
  6. Step 6: Final answer
    x = 62.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.