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Finding the Fourth Proportional to 161.78, 242.48 and 96.86

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Solution

The fourth proportional to 161.78, 242.48 and 96.86 is: 145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.78 : 242.48 = 96.86 : x
  2. Step 2: Convert to fraction form
    161.78/242.48 = 96.86/x
  3. Step 3: Cross multiply
    161.78x = 242.48 × 96.86
  4. Step 4: Simplify right side
    161.78x = 23,487.46
  5. Step 5: Solve for x
    x = 23,487.46/161.78
  6. Step 6: Final answer
    x = 145.19

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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.