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Finding the Fourth Proportional to 272.81, 411.32 and 219.35

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Solution

The fourth proportional to 272.81, 411.32 and 219.35 is: 330.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.81 : 411.32 = 219.35 : x
  2. Step 2: Convert to fraction form
    272.81/411.32 = 219.35/x
  3. Step 3: Cross multiply
    272.81x = 411.32 × 219.35
  4. Step 4: Simplify right side
    272.81x = 90,224.62
  5. Step 5: Solve for x
    x = 90,224.62/272.81
  6. Step 6: Final answer
    x = 330.72

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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.