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Finding the Fourth Proportional to 148.95, 223.11 and 123.21

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Solution

The fourth proportional to 148.95, 223.11 and 123.21 is: 184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.95 : 223.11 = 123.21 : x
  2. Step 2: Convert to fraction form
    148.95/223.11 = 123.21/x
  3. Step 3: Cross multiply
    148.95x = 223.11 × 123.21
  4. Step 4: Simplify right side
    148.95x = 27,489.38
  5. Step 5: Solve for x
    x = 27,489.38/148.95
  6. Step 6: Final answer
    x = 184.55

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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.