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Finding the Fourth Proportional to 339.06, 468.17 and 221.09

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Solution

The fourth proportional to 339.06, 468.17 and 221.09 is: 305.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.06 : 468.17 = 221.09 : x
  2. Step 2: Convert to fraction form
    339.06/468.17 = 221.09/x
  3. Step 3: Cross multiply
    339.06x = 468.17 × 221.09
  4. Step 4: Simplify right side
    339.06x = 103,507.71
  5. Step 5: Solve for x
    x = 103,507.71/339.06
  6. Step 6: Final answer
    x = 305.28

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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.