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Finding the Fourth Proportional to 170.31, 233.77 and 161.20

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Solution

The fourth proportional to 170.31, 233.77 and 161.20 is: 221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.31 : 233.77 = 161.20 : x
  2. Step 2: Convert to fraction form
    170.31/233.77 = 161.20/x
  3. Step 3: Cross multiply
    170.31x = 233.77 × 161.20
  4. Step 4: Simplify right side
    170.31x = 37,682.74
  5. Step 5: Solve for x
    x = 37,682.74/170.31
  6. Step 6: Final answer
    x = 221.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.