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Finding the Fourth Proportional to 294.72, 406.80 and 200.22

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Solution

The fourth proportional to 294.72, 406.80 and 200.22 is: 276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.72 : 406.80 = 200.22 : x
  2. Step 2: Convert to fraction form
    294.72/406.80 = 200.22/x
  3. Step 3: Cross multiply
    294.72x = 406.80 × 200.22
  4. Step 4: Simplify right side
    294.72x = 81,449.50
  5. Step 5: Solve for x
    x = 81,449.50/294.72
  6. Step 6: Final answer
    x = 276.36

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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.