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Finding the Fourth Proportional to 243.77, 365.38 and 161.45

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Solution

The fourth proportional to 243.77, 365.38 and 161.45 is: 241.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.77 : 365.38 = 161.45 : x
  2. Step 2: Convert to fraction form
    243.77/365.38 = 161.45/x
  3. Step 3: Cross multiply
    243.77x = 365.38 × 161.45
  4. Step 4: Simplify right side
    243.77x = 58,990.60
  5. Step 5: Solve for x
    x = 58,990.60/243.77
  6. Step 6: Final answer
    x = 241.99

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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.