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Finding the Fourth Proportional to 366.87, 506.45 and 227.07

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Solution

The fourth proportional to 366.87, 506.45 and 227.07 is: 313.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.87 : 506.45 = 227.07 : x
  2. Step 2: Convert to fraction form
    366.87/506.45 = 227.07/x
  3. Step 3: Cross multiply
    366.87x = 506.45 × 227.07
  4. Step 4: Simplify right side
    366.87x = 114,995.93
  5. Step 5: Solve for x
    x = 114,995.93/366.87
  6. Step 6: Final answer
    x = 313.45

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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.