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Finding the Fourth Proportional to 114.25, 170.34 and 107.37

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Solution

The fourth proportional to 114.25, 170.34 and 107.37 is: 160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.25 : 170.34 = 107.37 : x
  2. Step 2: Convert to fraction form
    114.25/170.34 = 107.37/x
  3. Step 3: Cross multiply
    114.25x = 170.34 × 107.37
  4. Step 4: Simplify right side
    114.25x = 18,289.41
  5. Step 5: Solve for x
    x = 18,289.41/114.25
  6. Step 6: Final answer
    x = 160.08

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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.