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Finding the Fourth Proportional to 114.19, 158.32 and 108.04

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Solution

The fourth proportional to 114.19, 158.32 and 108.04 is: 149.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.19 : 158.32 = 108.04 : x
  2. Step 2: Convert to fraction form
    114.19/158.32 = 108.04/x
  3. Step 3: Cross multiply
    114.19x = 158.32 × 108.04
  4. Step 4: Simplify right side
    114.19x = 17,104.89
  5. Step 5: Solve for x
    x = 17,104.89/114.19
  6. Step 6: Final answer
    x = 149.79

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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.