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Finding the Fourth Proportional to 161.70, 241.08 and 154.02

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Solution

The fourth proportional to 161.70, 241.08 and 154.02 is: 229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.70 : 241.08 = 154.02 : x
  2. Step 2: Convert to fraction form
    161.70/241.08 = 154.02/x
  3. Step 3: Cross multiply
    161.70x = 241.08 × 154.02
  4. Step 4: Simplify right side
    161.70x = 37,131.14
  5. Step 5: Solve for x
    x = 37,131.14/161.70
  6. Step 6: Final answer
    x = 229.63

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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.