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Finding the Fourth Proportional to 237.66, 327.86 and 178.54

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Solution

The fourth proportional to 237.66, 327.86 and 178.54 is: 246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.66 : 327.86 = 178.54 : x
  2. Step 2: Convert to fraction form
    237.66/327.86 = 178.54/x
  3. Step 3: Cross multiply
    237.66x = 327.86 × 178.54
  4. Step 4: Simplify right side
    237.66x = 58,536.12
  5. Step 5: Solve for x
    x = 58,536.12/237.66
  6. Step 6: Final answer
    x = 246.30

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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.