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Finding the Fourth Proportional to 293.05, 439.17 and 220.84

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Solution

The fourth proportional to 293.05, 439.17 and 220.84 is: 330.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.05 : 439.17 = 220.84 : x
  2. Step 2: Convert to fraction form
    293.05/439.17 = 220.84/x
  3. Step 3: Cross multiply
    293.05x = 439.17 × 220.84
  4. Step 4: Simplify right side
    293.05x = 96,986.30
  5. Step 5: Solve for x
    x = 96,986.30/293.05
  6. Step 6: Final answer
    x = 330.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.