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Finding the Fourth Proportional to 275.21, 379.86 and 164.66

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Solution

The fourth proportional to 275.21, 379.86 and 164.66 is: 227.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.21 : 379.86 = 164.66 : x
  2. Step 2: Convert to fraction form
    275.21/379.86 = 164.66/x
  3. Step 3: Cross multiply
    275.21x = 379.86 × 164.66
  4. Step 4: Simplify right side
    275.21x = 62,545.23
  5. Step 5: Solve for x
    x = 62,545.23/275.21
  6. Step 6: Final answer
    x = 227.26

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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.