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Finding the Fourth Proportional to 253.96, 380.56 and 162.44

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Solution

The fourth proportional to 253.96, 380.56 and 162.44 is: 243.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.96 : 380.56 = 162.44 : x
  2. Step 2: Convert to fraction form
    253.96/380.56 = 162.44/x
  3. Step 3: Cross multiply
    253.96x = 380.56 × 162.44
  4. Step 4: Simplify right side
    253.96x = 61,818.17
  5. Step 5: Solve for x
    x = 61,818.17/253.96
  6. Step 6: Final answer
    x = 243.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.