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Finding the Fourth Proportional to 160.85, 241.35 and 122.57

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Solution

The fourth proportional to 160.85, 241.35 and 122.57 is: 183.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.85 : 241.35 = 122.57 : x
  2. Step 2: Convert to fraction form
    160.85/241.35 = 122.57/x
  3. Step 3: Cross multiply
    160.85x = 241.35 × 122.57
  4. Step 4: Simplify right side
    160.85x = 29,582.27
  5. Step 5: Solve for x
    x = 29,582.27/160.85
  6. Step 6: Final answer
    x = 183.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.