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Finding the Fourth Proportional to 158.44, 217.52 and 142.08

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Solution

The fourth proportional to 158.44, 217.52 and 142.08 is: 195.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.44 : 217.52 = 142.08 : x
  2. Step 2: Convert to fraction form
    158.44/217.52 = 142.08/x
  3. Step 3: Cross multiply
    158.44x = 217.52 × 142.08
  4. Step 4: Simplify right side
    158.44x = 30,905.24
  5. Step 5: Solve for x
    x = 30,905.24/158.44
  6. Step 6: Final answer
    x = 195.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.