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Finding the Fourth Proportional to 149.99, 223.43 and 142.29

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Solution

The fourth proportional to 149.99, 223.43 and 142.29 is: 211.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.99 : 223.43 = 142.29 : x
  2. Step 2: Convert to fraction form
    149.99/223.43 = 142.29/x
  3. Step 3: Cross multiply
    149.99x = 223.43 × 142.29
  4. Step 4: Simplify right side
    149.99x = 31,791.14
  5. Step 5: Solve for x
    x = 31,791.14/149.99
  6. Step 6: Final answer
    x = 211.96

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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.