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Finding the Fourth Proportional to 123.28, 184.08 and 119.36

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Solution

The fourth proportional to 123.28, 184.08 and 119.36 is: 178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.28 : 184.08 = 119.36 : x
  2. Step 2: Convert to fraction form
    123.28/184.08 = 119.36/x
  3. Step 3: Cross multiply
    123.28x = 184.08 × 119.36
  4. Step 4: Simplify right side
    123.28x = 21,971.79
  5. Step 5: Solve for x
    x = 21,971.79/123.28
  6. Step 6: Final answer
    x = 178.23

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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.