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Finding the Fourth Proportional to 217.79, 328.19 and 180.12

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Solution

The fourth proportional to 217.79, 328.19 and 180.12 is: 271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.79 : 328.19 = 180.12 : x
  2. Step 2: Convert to fraction form
    217.79/328.19 = 180.12/x
  3. Step 3: Cross multiply
    217.79x = 328.19 × 180.12
  4. Step 4: Simplify right side
    217.79x = 59,112.53
  5. Step 5: Solve for x
    x = 59,112.53/217.79
  6. Step 6: Final answer
    x = 271.42

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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.