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Finding the Fourth Proportional to 144.81, 198.02 and 139.77

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Solution

The fourth proportional to 144.81, 198.02 and 139.77 is: 191.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.81 : 198.02 = 139.77 : x
  2. Step 2: Convert to fraction form
    144.81/198.02 = 139.77/x
  3. Step 3: Cross multiply
    144.81x = 198.02 × 139.77
  4. Step 4: Simplify right side
    144.81x = 27,677.60
  5. Step 5: Solve for x
    x = 27,677.60/144.81
  6. Step 6: Final answer
    x = 191.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.