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Finding the Fourth Proportional to 142.80, 198.30 and 142.16

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Solution

The fourth proportional to 142.80, 198.30 and 142.16 is: 197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.80 : 198.30 = 142.16 : x
  2. Step 2: Convert to fraction form
    142.80/198.30 = 142.16/x
  3. Step 3: Cross multiply
    142.80x = 198.30 × 142.16
  4. Step 4: Simplify right side
    142.80x = 28,190.33
  5. Step 5: Solve for x
    x = 28,190.33/142.80
  6. Step 6: Final answer
    x = 197.41

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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.