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Finding the Fourth Proportional to 142.96, 198.66 and 141.24

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Solution

The fourth proportional to 142.96, 198.66 and 141.24 is: 196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.96 : 198.66 = 141.24 : x
  2. Step 2: Convert to fraction form
    142.96/198.66 = 141.24/x
  3. Step 3: Cross multiply
    142.96x = 198.66 × 141.24
  4. Step 4: Simplify right side
    142.96x = 28,058.74
  5. Step 5: Solve for x
    x = 28,058.74/142.96
  6. Step 6: Final answer
    x = 196.27

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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.