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Finding the Fourth Proportional to 243.73, 365.37 and 89.56

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Solution

The fourth proportional to 243.73, 365.37 and 89.56 is: 134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.73 : 365.37 = 89.56 : x
  2. Step 2: Convert to fraction form
    243.73/365.37 = 89.56/x
  3. Step 3: Cross multiply
    243.73x = 365.37 × 89.56
  4. Step 4: Simplify right side
    243.73x = 32,721.23
  5. Step 5: Solve for x
    x = 32,721.23/243.73
  6. Step 6: Final answer
    x = 134.25

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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.