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Finding the Fourth Proportional to 227.56, 314.12 and 178.64

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Solution

The fourth proportional to 227.56, 314.12 and 178.64 is: 246.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.56 : 314.12 = 178.64 : x
  2. Step 2: Convert to fraction form
    227.56/314.12 = 178.64/x
  3. Step 3: Cross multiply
    227.56x = 314.12 × 178.64
  4. Step 4: Simplify right side
    227.56x = 56,114.40
  5. Step 5: Solve for x
    x = 56,114.40/227.56
  6. Step 6: Final answer
    x = 246.59

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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.