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Finding the Fourth Proportional to 207.70, 287.34 and 170.79

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Solution

The fourth proportional to 207.70, 287.34 and 170.79 is: 236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.70 : 287.34 = 170.79 : x
  2. Step 2: Convert to fraction form
    207.70/287.34 = 170.79/x
  3. Step 3: Cross multiply
    207.70x = 287.34 × 170.79
  4. Step 4: Simplify right side
    207.70x = 49,074.80
  5. Step 5: Solve for x
    x = 49,074.80/207.70
  6. Step 6: Final answer
    x = 236.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.