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Finding the Fourth Proportional to 293.21, 404.80 and 200.10

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Solution

The fourth proportional to 293.21, 404.80 and 200.10 is: 276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.21 : 404.80 = 200.10 : x
  2. Step 2: Convert to fraction form
    293.21/404.80 = 200.10/x
  3. Step 3: Cross multiply
    293.21x = 404.80 × 200.10
  4. Step 4: Simplify right side
    293.21x = 80,998.97
  5. Step 5: Solve for x
    x = 80,998.97/293.21
  6. Step 6: Final answer
    x = 276.25

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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.