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Finding the Fourth Proportional to 202.30, 280.67 and 200.17

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Solution

The fourth proportional to 202.30, 280.67 and 200.17 is: 277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.30 : 280.67 = 200.17 : x
  2. Step 2: Convert to fraction form
    202.30/280.67 = 200.17/x
  3. Step 3: Cross multiply
    202.30x = 280.67 × 200.17
  4. Step 4: Simplify right side
    202.30x = 56,181.06
  5. Step 5: Solve for x
    x = 56,181.06/202.30
  6. Step 6: Final answer
    x = 277.72

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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.