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Finding the Fourth Proportional to 294.56, 405.92 and 220.88

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Solution

The fourth proportional to 294.56, 405.92 and 220.88 is: 304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.56 : 405.92 = 220.88 : x
  2. Step 2: Convert to fraction form
    294.56/405.92 = 220.88/x
  3. Step 3: Cross multiply
    294.56x = 405.92 × 220.88
  4. Step 4: Simplify right side
    294.56x = 89,659.61
  5. Step 5: Solve for x
    x = 89,659.61/294.56
  6. Step 6: Final answer
    x = 304.38

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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.