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Finding the Fourth Proportional to 162.44, 242.92 and 121.33

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Solution

The fourth proportional to 162.44, 242.92 and 121.33 is: 181.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.44 : 242.92 = 121.33 : x
  2. Step 2: Convert to fraction form
    162.44/242.92 = 121.33/x
  3. Step 3: Cross multiply
    162.44x = 242.92 × 121.33
  4. Step 4: Simplify right side
    162.44x = 29,473.48
  5. Step 5: Solve for x
    x = 29,473.48/162.44
  6. Step 6: Final answer
    x = 181.45

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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.