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Finding the Fourth Proportional to 149.69, 223 and 140.38

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Solution

The fourth proportional to 149.69, 223 and 140.38 is: 209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.69 : 223 = 140.38 : x
  2. Step 2: Convert to fraction form
    149.69/223 = 140.38/x
  3. Step 3: Cross multiply
    149.69x = 223 × 140.38
  4. Step 4: Simplify right side
    149.69x = 31,303.63
  5. Step 5: Solve for x
    x = 31,303.63/149.69
  6. Step 6: Final answer
    x = 209.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.