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Finding the Fourth Proportional to 107.84, 160.40 and 105.68

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Solution

The fourth proportional to 107.84, 160.40 and 105.68 is: 157.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.84 : 160.40 = 105.68 : x
  2. Step 2: Convert to fraction form
    107.84/160.40 = 105.68/x
  3. Step 3: Cross multiply
    107.84x = 160.40 × 105.68
  4. Step 4: Simplify right side
    107.84x = 16,951.07
  5. Step 5: Solve for x
    x = 16,951.07/107.84
  6. Step 6: Final answer
    x = 157.19

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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.