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Finding the Fourth Proportional to 265.84, 398.02 and 200.64

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Solution

The fourth proportional to 265.84, 398.02 and 200.64 is: 300.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.84 : 398.02 = 200.64 : x
  2. Step 2: Convert to fraction form
    265.84/398.02 = 200.64/x
  3. Step 3: Cross multiply
    265.84x = 398.02 × 200.64
  4. Step 4: Simplify right side
    265.84x = 79,857.73
  5. Step 5: Solve for x
    x = 79,857.73/265.84
  6. Step 6: Final answer
    x = 300.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.