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Finding the Fourth Proportional to 107.26, 160.84 and 49.45

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Solution

The fourth proportional to 107.26, 160.84 and 49.45 is: 74.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.26 : 160.84 = 49.45 : x
  2. Step 2: Convert to fraction form
    107.26/160.84 = 49.45/x
  3. Step 3: Cross multiply
    107.26x = 160.84 × 49.45
  4. Step 4: Simplify right side
    107.26x = 7,954.01
  5. Step 5: Solve for x
    x = 7,954.01/107.26
  6. Step 6: Final answer
    x = 74.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.