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Finding the Fourth Proportional to 207.15, 310.82 and 142.25

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Solution

The fourth proportional to 207.15, 310.82 and 142.25 is: 213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.15 : 310.82 = 142.25 : x
  2. Step 2: Convert to fraction form
    207.15/310.82 = 142.25/x
  3. Step 3: Cross multiply
    207.15x = 310.82 × 142.25
  4. Step 4: Simplify right side
    207.15x = 44,212.68
  5. Step 5: Solve for x
    x = 44,212.68/207.15
  6. Step 6: Final answer
    x = 213.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.