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Finding the Fourth Proportional to 207.32, 284.18 and 206.96

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Solution

The fourth proportional to 207.32, 284.18 and 206.96 is: 283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.32 : 284.18 = 206.96 : x
  2. Step 2: Convert to fraction form
    207.32/284.18 = 206.96/x
  3. Step 3: Cross multiply
    207.32x = 284.18 × 206.96
  4. Step 4: Simplify right side
    207.32x = 58,813.89
  5. Step 5: Solve for x
    x = 58,813.89/207.32
  6. Step 6: Final answer
    x = 283.69

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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.