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Finding the Fourth Proportional to 211.62, 293.46 and 204.92

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Solution

The fourth proportional to 211.62, 293.46 and 204.92 is: 284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.62 : 293.46 = 204.92 : x
  2. Step 2: Convert to fraction form
    211.62/293.46 = 204.92/x
  3. Step 3: Cross multiply
    211.62x = 293.46 × 204.92
  4. Step 4: Simplify right side
    211.62x = 60,135.82
  5. Step 5: Solve for x
    x = 60,135.82/211.62
  6. Step 6: Final answer
    x = 284.17

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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.