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Finding the Fourth Proportional to 294.14, 405.30 and 200.90

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Solution

The fourth proportional to 294.14, 405.30 and 200.90 is: 276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.14 : 405.30 = 200.90 : x
  2. Step 2: Convert to fraction form
    294.14/405.30 = 200.90/x
  3. Step 3: Cross multiply
    294.14x = 405.30 × 200.90
  4. Step 4: Simplify right side
    294.14x = 81,424.77
  5. Step 5: Solve for x
    x = 81,424.77/294.14
  6. Step 6: Final answer
    x = 276.82

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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.