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Finding the Fourth Proportional to 292.92, 404.26 and 223.18

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Solution

The fourth proportional to 292.92, 404.26 and 223.18 is: 308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.92 : 404.26 = 223.18 : x
  2. Step 2: Convert to fraction form
    292.92/404.26 = 223.18/x
  3. Step 3: Cross multiply
    292.92x = 404.26 × 223.18
  4. Step 4: Simplify right side
    292.92x = 90,222.75
  5. Step 5: Solve for x
    x = 90,222.75/292.92
  6. Step 6: Final answer
    x = 308.01

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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.