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Finding the Fourth Proportional to 366.35, 505.76 and 226.49

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Solution

The fourth proportional to 366.35, 505.76 and 226.49 is: 312.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.35 : 505.76 = 226.49 : x
  2. Step 2: Convert to fraction form
    366.35/505.76 = 226.49/x
  3. Step 3: Cross multiply
    366.35x = 505.76 × 226.49
  4. Step 4: Simplify right side
    366.35x = 114,545.92
  5. Step 5: Solve for x
    x = 114,545.92/366.35
  6. Step 6: Final answer
    x = 312.67

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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.