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Finding the Fourth Proportional to 294.28, 406.14 and 220.47

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Solution

The fourth proportional to 294.28, 406.14 and 220.47 is: 304.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.28 : 406.14 = 220.47 : x
  2. Step 2: Convert to fraction form
    294.28/406.14 = 220.47/x
  3. Step 3: Cross multiply
    294.28x = 406.14 × 220.47
  4. Step 4: Simplify right side
    294.28x = 89,542.24
  5. Step 5: Solve for x
    x = 89,542.24/294.28
  6. Step 6: Final answer
    x = 304.27

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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.