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Finding the Fourth Proportional to 212.94, 292.05 and 204.12

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Solution

The fourth proportional to 212.94, 292.05 and 204.12 is: 279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.94 : 292.05 = 204.12 : x
  2. Step 2: Convert to fraction form
    212.94/292.05 = 204.12/x
  3. Step 3: Cross multiply
    212.94x = 292.05 × 204.12
  4. Step 4: Simplify right side
    212.94x = 59,613.25
  5. Step 5: Solve for x
    x = 59,613.25/212.94
  6. Step 6: Final answer
    x = 279.95

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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.