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Finding the Fourth Proportional to 170.16, 234.78 and 161.64

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Solution

The fourth proportional to 170.16, 234.78 and 161.64 is: 223.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.16 : 234.78 = 161.64 : x
  2. Step 2: Convert to fraction form
    170.16/234.78 = 161.64/x
  3. Step 3: Cross multiply
    170.16x = 234.78 × 161.64
  4. Step 4: Simplify right side
    170.16x = 37,949.84
  5. Step 5: Solve for x
    x = 37,949.84/170.16
  6. Step 6: Final answer
    x = 223.02

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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.