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Finding the Fourth Proportional to 162.27, 243.41 and 80.01

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Solution

The fourth proportional to 162.27, 243.41 and 80.01 is: 120.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.27 : 243.41 = 80.01 : x
  2. Step 2: Convert to fraction form
    162.27/243.41 = 80.01/x
  3. Step 3: Cross multiply
    162.27x = 243.41 × 80.01
  4. Step 4: Simplify right side
    162.27x = 19,474.83
  5. Step 5: Solve for x
    x = 19,474.83/162.27
  6. Step 6: Final answer
    x = 120.02

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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.