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Finding the Fourth Proportional to 295.70, 408.24 and 221.42

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Solution

The fourth proportional to 295.70, 408.24 and 221.42 is: 305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.70 : 408.24 = 221.42 : x
  2. Step 2: Convert to fraction form
    295.70/408.24 = 221.42/x
  3. Step 3: Cross multiply
    295.70x = 408.24 × 221.42
  4. Step 4: Simplify right side
    295.70x = 90,392.50
  5. Step 5: Solve for x
    x = 90,392.50/295.70
  6. Step 6: Final answer
    x = 305.69

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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.