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Finding the Fourth Proportional to 169.95, 235.60 and 161.16

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Solution

The fourth proportional to 169.95, 235.60 and 161.16 is: 223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.95 : 235.60 = 161.16 : x
  2. Step 2: Convert to fraction form
    169.95/235.60 = 161.16/x
  3. Step 3: Cross multiply
    169.95x = 235.60 × 161.16
  4. Step 4: Simplify right side
    169.95x = 37,969.30
  5. Step 5: Solve for x
    x = 37,969.30/169.95
  6. Step 6: Final answer
    x = 223.41

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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.