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Finding the Fourth Proportional to 366.72, 506.00 and 227.00

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Solution

The fourth proportional to 366.72, 506.00 and 227.00 is: 313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.72 : 506.00 = 227.00 : x
  2. Step 2: Convert to fraction form
    366.72/506.00 = 227.00/x
  3. Step 3: Cross multiply
    366.72x = 506.00 × 227.00
  4. Step 4: Simplify right side
    366.72x = 114,858.34
  5. Step 5: Solve for x
    x = 114,858.34/366.72
  6. Step 6: Final answer
    x = 313.20

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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.