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Finding the Fourth Proportional to 202.18, 280.88 and 200.28

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Solution

The fourth proportional to 202.18, 280.88 and 200.28 is: 278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.18 : 280.88 = 200.28 : x
  2. Step 2: Convert to fraction form
    202.18/280.88 = 200.28/x
  3. Step 3: Cross multiply
    202.18x = 280.88 × 200.28
  4. Step 4: Simplify right side
    202.18x = 56,253.87
  5. Step 5: Solve for x
    x = 56,253.87/202.18
  6. Step 6: Final answer
    x = 278.24

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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.