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Finding the Fourth Proportional to 262.18, 363.49 and 247.60

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Solution

The fourth proportional to 262.18, 363.49 and 247.60 is: 343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.18 : 363.49 = 247.60 : x
  2. Step 2: Convert to fraction form
    262.18/363.49 = 247.60/x
  3. Step 3: Cross multiply
    262.18x = 363.49 × 247.60
  4. Step 4: Simplify right side
    262.18x = 90,000.12
  5. Step 5: Solve for x
    x = 90,000.12/262.18
  6. Step 6: Final answer
    x = 343.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.