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Finding the Fourth Proportional to 314.46, 434.07 and 204.09

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Solution

The fourth proportional to 314.46, 434.07 and 204.09 is: 281.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.46 : 434.07 = 204.09 : x
  2. Step 2: Convert to fraction form
    314.46/434.07 = 204.09/x
  3. Step 3: Cross multiply
    314.46x = 434.07 × 204.09
  4. Step 4: Simplify right side
    314.46x = 88,589.35
  5. Step 5: Solve for x
    x = 88,589.35/314.46
  6. Step 6: Final answer
    x = 281.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.