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Finding the Fourth Proportional to 272.24, 406.72 and 217.04

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Solution

The fourth proportional to 272.24, 406.72 and 217.04 is: 324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.24 : 406.72 = 217.04 : x
  2. Step 2: Convert to fraction form
    272.24/406.72 = 217.04/x
  3. Step 3: Cross multiply
    272.24x = 406.72 × 217.04
  4. Step 4: Simplify right side
    272.24x = 88,274.51
  5. Step 5: Solve for x
    x = 88,274.51/272.24
  6. Step 6: Final answer
    x = 324.25

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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.