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Finding the Fourth Proportional to 171.55, 258.56 and 161.63

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Solution

The fourth proportional to 171.55, 258.56 and 161.63 is: 243.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.55 : 258.56 = 161.63 : x
  2. Step 2: Convert to fraction form
    171.55/258.56 = 161.63/x
  3. Step 3: Cross multiply
    171.55x = 258.56 × 161.63
  4. Step 4: Simplify right side
    171.55x = 41,790.53
  5. Step 5: Solve for x
    x = 41,790.53/171.55
  6. Step 6: Final answer
    x = 243.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.