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Finding the Fourth Proportional to 107.36, 160.25 and 99.84

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Solution

The fourth proportional to 107.36, 160.25 and 99.84 is: 149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.36 : 160.25 = 99.84 : x
  2. Step 2: Convert to fraction form
    107.36/160.25 = 99.84/x
  3. Step 3: Cross multiply
    107.36x = 160.25 × 99.84
  4. Step 4: Simplify right side
    107.36x = 15,998.86
  5. Step 5: Solve for x
    x = 15,998.86/107.36
  6. Step 6: Final answer
    x = 149.03

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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.