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Finding the Fourth Proportional to 409.16, 613.20 and 226.82

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Solution

The fourth proportional to 409.16, 613.20 and 226.82 is: 339.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.16 : 613.20 = 226.82 : x
  2. Step 2: Convert to fraction form
    409.16/613.20 = 226.82/x
  3. Step 3: Cross multiply
    409.16x = 613.20 × 226.82
  4. Step 4: Simplify right side
    409.16x = 139,086.02
  5. Step 5: Solve for x
    x = 139,086.02/409.16
  6. Step 6: Final answer
    x = 339.93

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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.