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Finding the Fourth Proportional to 149.49, 223.86 and 119.07

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Solution

The fourth proportional to 149.49, 223.86 and 119.07 is: 178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.49 : 223.86 = 119.07 : x
  2. Step 2: Convert to fraction form
    149.49/223.86 = 119.07/x
  3. Step 3: Cross multiply
    149.49x = 223.86 × 119.07
  4. Step 4: Simplify right side
    149.49x = 26,655.01
  5. Step 5: Solve for x
    x = 26,655.01/149.49
  6. Step 6: Final answer
    x = 178.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.