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Finding the Fourth Proportional to 262.40, 363.85 and 246.20

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Solution

The fourth proportional to 262.40, 363.85 and 246.20 is: 341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.40 : 363.85 = 246.20 : x
  2. Step 2: Convert to fraction form
    262.40/363.85 = 246.20/x
  3. Step 3: Cross multiply
    262.40x = 363.85 × 246.20
  4. Step 4: Simplify right side
    262.40x = 89,578.64
  5. Step 5: Solve for x
    x = 89,578.64/262.40
  6. Step 6: Final answer
    x = 341.38

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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.