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Finding the Fourth Proportional to 151.75, 209.42 and 119.17

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Solution

The fourth proportional to 151.75, 209.42 and 119.17 is: 164.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.75 : 209.42 = 119.17 : x
  2. Step 2: Convert to fraction form
    151.75/209.42 = 119.17/x
  3. Step 3: Cross multiply
    151.75x = 209.42 × 119.17
  4. Step 4: Simplify right side
    151.75x = 24,956.58
  5. Step 5: Solve for x
    x = 24,956.58/151.75
  6. Step 6: Final answer
    x = 164.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.