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Finding the Fourth Proportional to 243.37, 365.06 and 81.02

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Solution

The fourth proportional to 243.37, 365.06 and 81.02 is: 121.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.37 : 365.06 = 81.02 : x
  2. Step 2: Convert to fraction form
    243.37/365.06 = 81.02/x
  3. Step 3: Cross multiply
    243.37x = 365.06 × 81.02
  4. Step 4: Simplify right side
    243.37x = 29,577.16
  5. Step 5: Solve for x
    x = 29,577.16/243.37
  6. Step 6: Final answer
    x = 121.53

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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.