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Finding the Fourth Proportional to 178.90, 246.87 and 104.23

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Solution

The fourth proportional to 178.90, 246.87 and 104.23 is: 143.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.90 : 246.87 = 104.23 : x
  2. Step 2: Convert to fraction form
    178.90/246.87 = 104.23/x
  3. Step 3: Cross multiply
    178.90x = 246.87 × 104.23
  4. Step 4: Simplify right side
    178.90x = 25,731.26
  5. Step 5: Solve for x
    x = 25,731.26/178.90
  6. Step 6: Final answer
    x = 143.83

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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.