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Finding the Fourth Proportional to 149.86, 223.31 and 133.71

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Solution

The fourth proportional to 149.86, 223.31 and 133.71 is: 199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.86 : 223.31 = 133.71 : x
  2. Step 2: Convert to fraction form
    149.86/223.31 = 133.71/x
  3. Step 3: Cross multiply
    149.86x = 223.31 × 133.71
  4. Step 4: Simplify right side
    149.86x = 29,857.00
  5. Step 5: Solve for x
    x = 29,857.00/149.86
  6. Step 6: Final answer
    x = 199.23

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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.