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Finding the Fourth Proportional to 160.57, 241.67 and 120.21

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Solution

The fourth proportional to 160.57, 241.67 and 120.21 is: 180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.57 : 241.67 = 120.21 : x
  2. Step 2: Convert to fraction form
    160.57/241.67 = 120.21/x
  3. Step 3: Cross multiply
    160.57x = 241.67 × 120.21
  4. Step 4: Simplify right side
    160.57x = 29,051.15
  5. Step 5: Solve for x
    x = 29,051.15/160.57
  6. Step 6: Final answer
    x = 180.93

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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.