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Finding the Fourth Proportional to 212.43, 294.78 and 204.75

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Solution

The fourth proportional to 212.43, 294.78 and 204.75 is: 284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.43 : 294.78 = 204.75 : x
  2. Step 2: Convert to fraction form
    212.43/294.78 = 204.75/x
  3. Step 3: Cross multiply
    212.43x = 294.78 × 204.75
  4. Step 4: Simplify right side
    212.43x = 60,356.21
  5. Step 5: Solve for x
    x = 60,356.21/212.43
  6. Step 6: Final answer
    x = 284.12

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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.