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Finding the Fourth Proportional to 292.98, 404.55 and 199.92

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Solution

The fourth proportional to 292.98, 404.55 and 199.92 is: 276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.98 : 404.55 = 199.92 : x
  2. Step 2: Convert to fraction form
    292.98/404.55 = 199.92/x
  3. Step 3: Cross multiply
    292.98x = 404.55 × 199.92
  4. Step 4: Simplify right side
    292.98x = 80,877.64
  5. Step 5: Solve for x
    x = 80,877.64/292.98
  6. Step 6: Final answer
    x = 276.05

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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.