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Finding the Fourth Proportional to 202.15, 280.84 and 200.37

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Solution

The fourth proportional to 202.15, 280.84 and 200.37 is: 278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.15 : 280.84 = 200.37 : x
  2. Step 2: Convert to fraction form
    202.15/280.84 = 200.37/x
  3. Step 3: Cross multiply
    202.15x = 280.84 × 200.37
  4. Step 4: Simplify right side
    202.15x = 56,271.91
  5. Step 5: Solve for x
    x = 56,271.91/202.15
  6. Step 6: Final answer
    x = 278.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.