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Finding the Fourth Proportional to 178.96, 247.02 and 120.74

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Solution

The fourth proportional to 178.96, 247.02 and 120.74 is: 166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.96 : 247.02 = 120.74 : x
  2. Step 2: Convert to fraction form
    178.96/247.02 = 120.74/x
  3. Step 3: Cross multiply
    178.96x = 247.02 × 120.74
  4. Step 4: Simplify right side
    178.96x = 29,825.19
  5. Step 5: Solve for x
    x = 29,825.19/178.96
  6. Step 6: Final answer
    x = 166.66

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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.