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Finding the Fourth Proportional to 211.04, 292.73 and 205.43

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Solution

The fourth proportional to 211.04, 292.73 and 205.43 is: 284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.04 : 292.73 = 205.43 : x
  2. Step 2: Convert to fraction form
    211.04/292.73 = 205.43/x
  3. Step 3: Cross multiply
    211.04x = 292.73 × 205.43
  4. Step 4: Simplify right side
    211.04x = 60,134.19
  5. Step 5: Solve for x
    x = 60,134.19/211.04
  6. Step 6: Final answer
    x = 284.94

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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.