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Finding the Fourth Proportional to 142.88, 198.24 and 141.64

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Solution

The fourth proportional to 142.88, 198.24 and 141.64 is: 196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.88 : 198.24 = 141.64 : x
  2. Step 2: Convert to fraction form
    142.88/198.24 = 141.64/x
  3. Step 3: Cross multiply
    142.88x = 198.24 × 141.64
  4. Step 4: Simplify right side
    142.88x = 28,078.71
  5. Step 5: Solve for x
    x = 28,078.71/142.88
  6. Step 6: Final answer
    x = 196.52

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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.