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Finding the Fourth Proportional to 123.23, 185.72 and 122.18

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Solution

The fourth proportional to 123.23, 185.72 and 122.18 is: 184.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.23 : 185.72 = 122.18 : x
  2. Step 2: Convert to fraction form
    123.23/185.72 = 122.18/x
  3. Step 3: Cross multiply
    123.23x = 185.72 × 122.18
  4. Step 4: Simplify right side
    123.23x = 22,689.73
  5. Step 5: Solve for x
    x = 22,689.73/123.23
  6. Step 6: Final answer
    x = 184.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.