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Finding the Fourth Proportional to 292.75, 404.12 and 199.46

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Solution

The fourth proportional to 292.75, 404.12 and 199.46 is: 275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.75 : 404.12 = 199.46 : x
  2. Step 2: Convert to fraction form
    292.75/404.12 = 199.46/x
  3. Step 3: Cross multiply
    292.75x = 404.12 × 199.46
  4. Step 4: Simplify right side
    292.75x = 80,607.28
  5. Step 5: Solve for x
    x = 80,607.28/292.75
  6. Step 6: Final answer
    x = 275.35

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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.