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Finding the Fourth Proportional to 142.28, 196.52 and 119.13

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Solution

The fourth proportional to 142.28, 196.52 and 119.13 is: 164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.28 : 196.52 = 119.13 : x
  2. Step 2: Convert to fraction form
    142.28/196.52 = 119.13/x
  3. Step 3: Cross multiply
    142.28x = 196.52 × 119.13
  4. Step 4: Simplify right side
    142.28x = 23,411.43
  5. Step 5: Solve for x
    x = 23,411.43/142.28
  6. Step 6: Final answer
    x = 164.54

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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.