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Finding the Fourth Proportional to 243.73, 336.30 and 145.49

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Solution

The fourth proportional to 243.73, 336.30 and 145.49 is: 200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.73 : 336.30 = 145.49 : x
  2. Step 2: Convert to fraction form
    243.73/336.30 = 145.49/x
  3. Step 3: Cross multiply
    243.73x = 336.30 × 145.49
  4. Step 4: Simplify right side
    243.73x = 48,928.76
  5. Step 5: Solve for x
    x = 48,928.76/243.73
  6. Step 6: Final answer
    x = 200.75

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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.