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Finding the Fourth Proportional to 158.04, 217.82 and 119.24

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Solution

The fourth proportional to 158.04, 217.82 and 119.24 is: 164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.04 : 217.82 = 119.24 : x
  2. Step 2: Convert to fraction form
    158.04/217.82 = 119.24/x
  3. Step 3: Cross multiply
    158.04x = 217.82 × 119.24
  4. Step 4: Simplify right side
    158.04x = 25,972.86
  5. Step 5: Solve for x
    x = 25,972.86/158.04
  6. Step 6: Final answer
    x = 164.34

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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.