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Finding the Fourth Proportional to 114.96, 159.36 and 107.60

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Solution

The fourth proportional to 114.96, 159.36 and 107.60 is: 149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.96 : 159.36 = 107.60 : x
  2. Step 2: Convert to fraction form
    114.96/159.36 = 107.60/x
  3. Step 3: Cross multiply
    114.96x = 159.36 × 107.60
  4. Step 4: Simplify right side
    114.96x = 17,147.14
  5. Step 5: Solve for x
    x = 17,147.14/114.96
  6. Step 6: Final answer
    x = 149.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.