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Finding the Fourth Proportional to 253.81, 378.49 and 243.56

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Solution

The fourth proportional to 253.81, 378.49 and 243.56 is: 363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.81 : 378.49 = 243.56 : x
  2. Step 2: Convert to fraction form
    253.81/378.49 = 243.56/x
  3. Step 3: Cross multiply
    253.81x = 378.49 × 243.56
  4. Step 4: Simplify right side
    253.81x = 92,185.02
  5. Step 5: Solve for x
    x = 92,185.02/253.81
  6. Step 6: Final answer
    x = 363.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.