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Finding the Fourth Proportional to 263.21, 362.54 and 200.44

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Solution

The fourth proportional to 263.21, 362.54 and 200.44 is: 276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.21 : 362.54 = 200.44 : x
  2. Step 2: Convert to fraction form
    263.21/362.54 = 200.44/x
  3. Step 3: Cross multiply
    263.21x = 362.54 × 200.44
  4. Step 4: Simplify right side
    263.21x = 72,666.21
  5. Step 5: Solve for x
    x = 72,666.21/263.21
  6. Step 6: Final answer
    x = 276.08

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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.