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Finding the Fourth Proportional to 162.88, 243.35 and 161.44

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Solution

The fourth proportional to 162.88, 243.35 and 161.44 is: 241.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.88 : 243.35 = 161.44 : x
  2. Step 2: Convert to fraction form
    162.88/243.35 = 161.44/x
  3. Step 3: Cross multiply
    162.88x = 243.35 × 161.44
  4. Step 4: Simplify right side
    162.88x = 39,286.42
  5. Step 5: Solve for x
    x = 39,286.42/162.88
  6. Step 6: Final answer
    x = 241.20

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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.