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Finding the Fourth Proportional to 293.94, 405.97 and 200.53

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Solution

The fourth proportional to 293.94, 405.97 and 200.53 is: 276.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.94 : 405.97 = 200.53 : x
  2. Step 2: Convert to fraction form
    293.94/405.97 = 200.53/x
  3. Step 3: Cross multiply
    293.94x = 405.97 × 200.53
  4. Step 4: Simplify right side
    293.94x = 81,407.13
  5. Step 5: Solve for x
    x = 81,407.13/293.94
  6. Step 6: Final answer
    x = 276.95

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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.