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Finding the Fourth Proportional to 162.07, 242.86 and 80.97

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Solution

The fourth proportional to 162.07, 242.86 and 80.97 is: 121.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.07 : 242.86 = 80.97 : x
  2. Step 2: Convert to fraction form
    162.07/242.86 = 80.97/x
  3. Step 3: Cross multiply
    162.07x = 242.86 × 80.97
  4. Step 4: Simplify right side
    162.07x = 19,664.37
  5. Step 5: Solve for x
    x = 19,664.37/162.07
  6. Step 6: Final answer
    x = 121.33

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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.