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Finding the Fourth Proportional to 178.56, 246.12 and 120.24

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Solution

The fourth proportional to 178.56, 246.12 and 120.24 is: 165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.56 : 246.12 = 120.24 : x
  2. Step 2: Convert to fraction form
    178.56/246.12 = 120.24/x
  3. Step 3: Cross multiply
    178.56x = 246.12 × 120.24
  4. Step 4: Simplify right side
    178.56x = 29,593.47
  5. Step 5: Solve for x
    x = 29,593.47/178.56
  6. Step 6: Final answer
    x = 165.73

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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.