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Finding the Fourth Proportional to 243.86, 336.68 and 178.25

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Solution

The fourth proportional to 243.86, 336.68 and 178.25 is: 246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.86 : 336.68 = 178.25 : x
  2. Step 2: Convert to fraction form
    243.86/336.68 = 178.25/x
  3. Step 3: Cross multiply
    243.86x = 336.68 × 178.25
  4. Step 4: Simplify right side
    243.86x = 60,010.64
  5. Step 5: Solve for x
    x = 60,010.64/243.86
  6. Step 6: Final answer
    x = 246.09

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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.