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Finding the Fourth Proportional to 178.45, 246.32 and 108.57

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Solution

The fourth proportional to 178.45, 246.32 and 108.57 is: 149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.45 : 246.32 = 108.57 : x
  2. Step 2: Convert to fraction form
    178.45/246.32 = 108.57/x
  3. Step 3: Cross multiply
    178.45x = 246.32 × 108.57
  4. Step 4: Simplify right side
    178.45x = 26,742.96
  5. Step 5: Solve for x
    x = 26,742.96/178.45
  6. Step 6: Final answer
    x = 149.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.