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Finding the Fourth Proportional to 160.20, 241.31 and 145.85

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Solution

The fourth proportional to 160.20, 241.31 and 145.85 is: 219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.20 : 241.31 = 145.85 : x
  2. Step 2: Convert to fraction form
    160.20/241.31 = 145.85/x
  3. Step 3: Cross multiply
    160.20x = 241.31 × 145.85
  4. Step 4: Simplify right side
    160.20x = 35,193.13
  5. Step 5: Solve for x
    x = 35,193.13/160.20
  6. Step 6: Final answer
    x = 219.68

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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.