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Finding the Fourth Proportional to 295.79, 408.20 and 163.02

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Solution

The fourth proportional to 295.79, 408.20 and 163.02 is: 224.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.79 : 408.20 = 163.02 : x
  2. Step 2: Convert to fraction form
    295.79/408.20 = 163.02/x
  3. Step 3: Cross multiply
    295.79x = 408.20 × 163.02
  4. Step 4: Simplify right side
    295.79x = 66,543.07
  5. Step 5: Solve for x
    x = 66,543.07/295.79
  6. Step 6: Final answer
    x = 224.96

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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.