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Finding the Fourth Proportional to 251.49, 347.13 and 164.18

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Solution

The fourth proportional to 251.49, 347.13 and 164.18 is: 226.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.49 : 347.13 = 164.18 : x
  2. Step 2: Convert to fraction form
    251.49/347.13 = 164.18/x
  3. Step 3: Cross multiply
    251.49x = 347.13 × 164.18
  4. Step 4: Simplify right side
    251.49x = 56,990.07
  5. Step 5: Solve for x
    x = 56,990.07/251.49
  6. Step 6: Final answer
    x = 226.61

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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.