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Finding the Fourth Proportional to 243.30, 365.22 and 180.84

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Solution

The fourth proportional to 243.30, 365.22 and 180.84 is: 271.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.30 : 365.22 = 180.84 : x
  2. Step 2: Convert to fraction form
    243.30/365.22 = 180.84/x
  3. Step 3: Cross multiply
    243.30x = 365.22 × 180.84
  4. Step 4: Simplify right side
    243.30x = 66,046.38
  5. Step 5: Solve for x
    x = 66,046.38/243.30
  6. Step 6: Final answer
    x = 271.46

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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.