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Finding the Fourth Proportional to 251.02, 346.29 and 163.66

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Solution

The fourth proportional to 251.02, 346.29 and 163.66 is: 225.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.02 : 346.29 = 163.66 : x
  2. Step 2: Convert to fraction form
    251.02/346.29 = 163.66/x
  3. Step 3: Cross multiply
    251.02x = 346.29 × 163.66
  4. Step 4: Simplify right side
    251.02x = 56,673.82
  5. Step 5: Solve for x
    x = 56,673.82/251.02
  6. Step 6: Final answer
    x = 225.77

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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.