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Finding the Fourth Proportional to 295.69, 408.05 and 164.70

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Solution

The fourth proportional to 295.69, 408.05 and 164.70 is: 227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.69 : 408.05 = 164.70 : x
  2. Step 2: Convert to fraction form
    295.69/408.05 = 164.70/x
  3. Step 3: Cross multiply
    295.69x = 408.05 × 164.70
  4. Step 4: Simplify right side
    295.69x = 67,202.97
  5. Step 5: Solve for x
    x = 67,202.97/295.69
  6. Step 6: Final answer
    x = 227.28

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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.