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Finding the Fourth Proportional to 161.09, 241.56 and 52.85

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Solution

The fourth proportional to 161.09, 241.56 and 52.85 is: 79.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.09 : 241.56 = 52.85 : x
  2. Step 2: Convert to fraction form
    161.09/241.56 = 52.85/x
  3. Step 3: Cross multiply
    161.09x = 241.56 × 52.85
  4. Step 4: Simplify right side
    161.09x = 12,766.45
  5. Step 5: Solve for x
    x = 12,766.45/161.09
  6. Step 6: Final answer
    x = 79.25

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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.