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Finding the Fourth Proportional to 144.02, 198.86 and 136.33

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Solution

The fourth proportional to 144.02, 198.86 and 136.33 is: 188.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.02 : 198.86 = 136.33 : x
  2. Step 2: Convert to fraction form
    144.02/198.86 = 136.33/x
  3. Step 3: Cross multiply
    144.02x = 198.86 × 136.33
  4. Step 4: Simplify right side
    144.02x = 27,109.41
  5. Step 5: Solve for x
    x = 27,109.41/144.02
  6. Step 6: Final answer
    x = 188.23

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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.