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Finding the Fourth Proportional to 251.88, 347.51 and 164.61

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Solution

The fourth proportional to 251.88, 347.51 and 164.61 is: 227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.88 : 347.51 = 164.61 : x
  2. Step 2: Convert to fraction form
    251.88/347.51 = 164.61/x
  3. Step 3: Cross multiply
    251.88x = 347.51 × 164.61
  4. Step 4: Simplify right side
    251.88x = 57,201.68
  5. Step 5: Solve for x
    x = 57,201.68/251.88
  6. Step 6: Final answer
    x = 227.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.