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Finding the Fourth Proportional to 49.73, 75.13 and 49.23

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Solution

The fourth proportional to 49.73, 75.13 and 49.23 is: 74.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.73 : 75.13 = 49.23 : x
  2. Step 2: Convert to fraction form
    49.73/75.13 = 49.23/x
  3. Step 3: Cross multiply
    49.73x = 75.13 × 49.23
  4. Step 4: Simplify right side
    49.73x = 3,698.65
  5. Step 5: Solve for x
    x = 3,698.65/49.73
  6. Step 6: Final answer
    x = 74.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.