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Finding the Fourth Proportional to 219.54, 327.62 and 180.66

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Solution

The fourth proportional to 219.54, 327.62 and 180.66 is: 269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.54 : 327.62 = 180.66 : x
  2. Step 2: Convert to fraction form
    219.54/327.62 = 180.66/x
  3. Step 3: Cross multiply
    219.54x = 327.62 × 180.66
  4. Step 4: Simplify right side
    219.54x = 59,187.83
  5. Step 5: Solve for x
    x = 59,187.83/219.54
  6. Step 6: Final answer
    x = 269.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.