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Finding the Fourth Proportional to 160.38, 241.46 and 133.20

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Solution

The fourth proportional to 160.38, 241.46 and 133.20 is: 200.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.38 : 241.46 = 133.20 : x
  2. Step 2: Convert to fraction form
    160.38/241.46 = 133.20/x
  3. Step 3: Cross multiply
    160.38x = 241.46 × 133.20
  4. Step 4: Simplify right side
    160.38x = 32,161.81
  5. Step 5: Solve for x
    x = 32,161.81/160.38
  6. Step 6: Final answer
    x = 200.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.