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Finding the Fourth Proportional to 293.98, 405.86 and 200.86

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Solution

The fourth proportional to 293.98, 405.86 and 200.86 is: 277.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.98 : 405.86 = 200.86 : x
  2. Step 2: Convert to fraction form
    293.98/405.86 = 200.86/x
  3. Step 3: Cross multiply
    293.98x = 405.86 × 200.86
  4. Step 4: Simplify right side
    293.98x = 81,519.02
  5. Step 5: Solve for x
    x = 81,519.02/293.98
  6. Step 6: Final answer
    x = 277.30

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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.