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Finding the Fourth Proportional to 149.78, 223.60 and 119.36

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Solution

The fourth proportional to 149.78, 223.60 and 119.36 is: 178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.78 : 223.60 = 119.36 : x
  2. Step 2: Convert to fraction form
    149.78/223.60 = 119.36/x
  3. Step 3: Cross multiply
    149.78x = 223.60 × 119.36
  4. Step 4: Simplify right side
    149.78x = 26,688.90
  5. Step 5: Solve for x
    x = 26,688.90/149.78
  6. Step 6: Final answer
    x = 178.19

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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.