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Finding the Fourth Proportional to 247.10, 341.01 and 164.21

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Solution

The fourth proportional to 247.10, 341.01 and 164.21 is: 226.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.10 : 341.01 = 164.21 : x
  2. Step 2: Convert to fraction form
    247.10/341.01 = 164.21/x
  3. Step 3: Cross multiply
    247.10x = 341.01 × 164.21
  4. Step 4: Simplify right side
    247.10x = 55,995.55
  5. Step 5: Solve for x
    x = 55,995.55/247.10
  6. Step 6: Final answer
    x = 226.62

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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.