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Finding the Fourth Proportional to 161.20, 241.16 and 135.58

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Solution

The fourth proportional to 161.20, 241.16 and 135.58 is: 202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.20 : 241.16 = 135.58 : x
  2. Step 2: Convert to fraction form
    161.20/241.16 = 135.58/x
  3. Step 3: Cross multiply
    161.20x = 241.16 × 135.58
  4. Step 4: Simplify right side
    161.20x = 32,696.47
  5. Step 5: Solve for x
    x = 32,696.47/161.20
  6. Step 6: Final answer
    x = 202.83

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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.