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Finding the Fourth Proportional to 207.92, 314.24 and 204.34

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Solution

The fourth proportional to 207.92, 314.24 and 204.34 is: 308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.92 : 314.24 = 204.34 : x
  2. Step 2: Convert to fraction form
    207.92/314.24 = 204.34/x
  3. Step 3: Cross multiply
    207.92x = 314.24 × 204.34
  4. Step 4: Simplify right side
    207.92x = 64,209.72
  5. Step 5: Solve for x
    x = 64,209.72/207.92
  6. Step 6: Final answer
    x = 308.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.