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Finding the Fourth Proportional to 161.91, 241.20 and 154.53

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Solution

The fourth proportional to 161.91, 241.20 and 154.53 is: 230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.91 : 241.20 = 154.53 : x
  2. Step 2: Convert to fraction form
    161.91/241.20 = 154.53/x
  3. Step 3: Cross multiply
    161.91x = 241.20 × 154.53
  4. Step 4: Simplify right side
    161.91x = 37,272.64
  5. Step 5: Solve for x
    x = 37,272.64/161.91
  6. Step 6: Final answer
    x = 230.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.