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Finding the Fourth Proportional to 366.15, 505.20 and 226.21

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Solution

The fourth proportional to 366.15, 505.20 and 226.21 is: 312.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.15 : 505.20 = 226.21 : x
  2. Step 2: Convert to fraction form
    366.15/505.20 = 226.21/x
  3. Step 3: Cross multiply
    366.15x = 505.20 × 226.21
  4. Step 4: Simplify right side
    366.15x = 114,281.29
  5. Step 5: Solve for x
    x = 114,281.29/366.15
  6. Step 6: Final answer
    x = 312.12

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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.