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Finding the Fourth Proportional to 295.08, 406.98 and 220.96

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Solution

The fourth proportional to 295.08, 406.98 and 220.96 is: 304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.08 : 406.98 = 220.96 : x
  2. Step 2: Convert to fraction form
    295.08/406.98 = 220.96/x
  3. Step 3: Cross multiply
    295.08x = 406.98 × 220.96
  4. Step 4: Simplify right side
    295.08x = 89,926.30
  5. Step 5: Solve for x
    x = 89,926.30/295.08
  6. Step 6: Final answer
    x = 304.75

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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.