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Finding the Fourth Proportional to 295.71, 408.08 and 164.72

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Solution

The fourth proportional to 295.71, 408.08 and 164.72 is: 227.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.71 : 408.08 = 164.72 : x
  2. Step 2: Convert to fraction form
    295.71/408.08 = 164.72/x
  3. Step 3: Cross multiply
    295.71x = 408.08 × 164.72
  4. Step 4: Simplify right side
    295.71x = 67,216.07
  5. Step 5: Solve for x
    x = 67,216.07/295.71
  6. Step 6: Final answer
    x = 227.30

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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.