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Finding the Fourth Proportional to 142.83, 198.01 and 136.22

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Solution

The fourth proportional to 142.83, 198.01 and 136.22 is: 188.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.83 : 198.01 = 136.22 : x
  2. Step 2: Convert to fraction form
    142.83/198.01 = 136.22/x
  3. Step 3: Cross multiply
    142.83x = 198.01 × 136.22
  4. Step 4: Simplify right side
    142.83x = 26,972.10
  5. Step 5: Solve for x
    x = 26,972.10/142.83
  6. Step 6: Final answer
    x = 188.84

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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.