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Finding the Fourth Proportional to 207.62, 312.98 and 178.97

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Solution

The fourth proportional to 207.62, 312.98 and 178.97 is: 269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.62 : 312.98 = 178.97 : x
  2. Step 2: Convert to fraction form
    207.62/312.98 = 178.97/x
  3. Step 3: Cross multiply
    207.62x = 312.98 × 178.97
  4. Step 4: Simplify right side
    207.62x = 56,011.96
  5. Step 5: Solve for x
    x = 56,011.96/207.62
  6. Step 6: Final answer
    x = 269.78

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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.