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Finding the Fourth Proportional to 170.56, 252.22 and 170.14

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Solution

The fourth proportional to 170.56, 252.22 and 170.14 is: 251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.56 : 252.22 = 170.14 : x
  2. Step 2: Convert to fraction form
    170.56/252.22 = 170.14/x
  3. Step 3: Cross multiply
    170.56x = 252.22 × 170.14
  4. Step 4: Simplify right side
    170.56x = 42,912.71
  5. Step 5: Solve for x
    x = 42,912.71/170.56
  6. Step 6: Final answer
    x = 251.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.