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Finding the Fourth Proportional to 292.92, 404.34 and 227.16

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Solution

The fourth proportional to 292.92, 404.34 and 227.16 is: 313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.92 : 404.34 = 227.16 : x
  2. Step 2: Convert to fraction form
    292.92/404.34 = 227.16/x
  3. Step 3: Cross multiply
    292.92x = 404.34 × 227.16
  4. Step 4: Simplify right side
    292.92x = 91,849.87
  5. Step 5: Solve for x
    x = 91,849.87/292.92
  6. Step 6: Final answer
    x = 313.57

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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.