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Finding the Fourth Proportional to 144.15, 198.50 and 136.14

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Solution

The fourth proportional to 144.15, 198.50 and 136.14 is: 187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.15 : 198.50 = 136.14 : x
  2. Step 2: Convert to fraction form
    144.15/198.50 = 136.14/x
  3. Step 3: Cross multiply
    144.15x = 198.50 × 136.14
  4. Step 4: Simplify right side
    144.15x = 27,023.11
  5. Step 5: Solve for x
    x = 27,023.11/144.15
  6. Step 6: Final answer
    x = 187.47

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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.