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Finding the Fourth Proportional to 243.73, 336.45 and 178.39

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Solution

The fourth proportional to 243.73, 336.45 and 178.39 is: 246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.73 : 336.45 = 178.39 : x
  2. Step 2: Convert to fraction form
    243.73/336.45 = 178.39/x
  3. Step 3: Cross multiply
    243.73x = 336.45 × 178.39
  4. Step 4: Simplify right side
    243.73x = 60,019.32
  5. Step 5: Solve for x
    x = 60,019.32/243.73
  6. Step 6: Final answer
    x = 246.25

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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.