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Finding the Fourth Proportional to 220.61, 304.18 and 171.41

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Solution

The fourth proportional to 220.61, 304.18 and 171.41 is: 236.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.61 : 304.18 = 171.41 : x
  2. Step 2: Convert to fraction form
    220.61/304.18 = 171.41/x
  3. Step 3: Cross multiply
    220.61x = 304.18 × 171.41
  4. Step 4: Simplify right side
    220.61x = 52,137.54
  5. Step 5: Solve for x
    x = 52,137.54/220.61
  6. Step 6: Final answer
    x = 236.33

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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.