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Finding the Fourth Proportional to 203.84, 279.43 and 200.16

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Solution

The fourth proportional to 203.84, 279.43 and 200.16 is: 274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.84 : 279.43 = 200.16 : x
  2. Step 2: Convert to fraction form
    203.84/279.43 = 200.16/x
  3. Step 3: Cross multiply
    203.84x = 279.43 × 200.16
  4. Step 4: Simplify right side
    203.84x = 55,930.71
  5. Step 5: Solve for x
    x = 55,930.71/203.84
  6. Step 6: Final answer
    x = 274.39

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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.