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Finding the Fourth Proportional to 178.31, 246.09 and 104.64

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Solution

The fourth proportional to 178.31, 246.09 and 104.64 is: 144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.31 : 246.09 = 104.64 : x
  2. Step 2: Convert to fraction form
    178.31/246.09 = 104.64/x
  3. Step 3: Cross multiply
    178.31x = 246.09 × 104.64
  4. Step 4: Simplify right side
    178.31x = 25,750.86
  5. Step 5: Solve for x
    x = 25,750.86/178.31
  6. Step 6: Final answer
    x = 144.42

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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.