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Finding the Fourth Proportional to 170.36, 236.16 and 161.12

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Solution

The fourth proportional to 170.36, 236.16 and 161.12 is: 223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.36 : 236.16 = 161.12 : x
  2. Step 2: Convert to fraction form
    170.36/236.16 = 161.12/x
  3. Step 3: Cross multiply
    170.36x = 236.16 × 161.12
  4. Step 4: Simplify right side
    170.36x = 38,050.69
  5. Step 5: Solve for x
    x = 38,050.69/170.36
  6. Step 6: Final answer
    x = 223.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.