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Finding the Fourth Proportional to 161.78, 242.36 and 154.48

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Solution

The fourth proportional to 161.78, 242.36 and 154.48 is: 231.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.78 : 242.36 = 154.48 : x
  2. Step 2: Convert to fraction form
    161.78/242.36 = 154.48/x
  3. Step 3: Cross multiply
    161.78x = 242.36 × 154.48
  4. Step 4: Simplify right side
    161.78x = 37,439.77
  5. Step 5: Solve for x
    x = 37,439.77/161.78
  6. Step 6: Final answer
    x = 231.42

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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.