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Finding the Fourth Proportional to 202.93, 278.17 and 200.20

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Solution

The fourth proportional to 202.93, 278.17 and 200.20 is: 274.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.93 : 278.17 = 200.20 : x
  2. Step 2: Convert to fraction form
    202.93/278.17 = 200.20/x
  3. Step 3: Cross multiply
    202.93x = 278.17 × 200.20
  4. Step 4: Simplify right side
    202.93x = 55,689.63
  5. Step 5: Solve for x
    x = 55,689.63/202.93
  6. Step 6: Final answer
    x = 274.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.