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Finding the Fourth Proportional to 149.84, 223.80 and 122.48

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Solution

The fourth proportional to 149.84, 223.80 and 122.48 is: 182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.84 : 223.80 = 122.48 : x
  2. Step 2: Convert to fraction form
    149.84/223.80 = 122.48/x
  3. Step 3: Cross multiply
    149.84x = 223.80 × 122.48
  4. Step 4: Simplify right side
    149.84x = 27,410.41
  5. Step 5: Solve for x
    x = 27,410.41/149.84
  6. Step 6: Final answer
    x = 182.93

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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.