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Finding the Fourth Proportional to 366.38, 505.77 and 226.57

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Solution

The fourth proportional to 366.38, 505.77 and 226.57 is: 312.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.38 : 505.77 = 226.57 : x
  2. Step 2: Convert to fraction form
    366.38/505.77 = 226.57/x
  3. Step 3: Cross multiply
    366.38x = 505.77 × 226.57
  4. Step 4: Simplify right side
    366.38x = 114,592.31
  5. Step 5: Solve for x
    x = 114,592.31/366.38
  6. Step 6: Final answer
    x = 312.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.