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Finding the Fourth Proportional to 251.30, 346.70 and 163.82

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Solution

The fourth proportional to 251.30, 346.70 and 163.82 is: 226.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.30 : 346.70 = 163.82 : x
  2. Step 2: Convert to fraction form
    251.30/346.70 = 163.82/x
  3. Step 3: Cross multiply
    251.30x = 346.70 × 163.82
  4. Step 4: Simplify right side
    251.30x = 56,796.39
  5. Step 5: Solve for x
    x = 56,796.39/251.30
  6. Step 6: Final answer
    x = 226.01

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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.