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Finding the Fourth Proportional to 207.82, 310.89 and 173.65

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Solution

The fourth proportional to 207.82, 310.89 and 173.65 is: 259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.82 : 310.89 = 173.65 : x
  2. Step 2: Convert to fraction form
    207.82/310.89 = 173.65/x
  3. Step 3: Cross multiply
    207.82x = 310.89 × 173.65
  4. Step 4: Simplify right side
    207.82x = 53,987.48
  5. Step 5: Solve for x
    x = 53,987.48/207.82
  6. Step 6: Final answer
    x = 259.78

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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.