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Finding the Fourth Proportional to 160.85, 241.30 and 52.61

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Solution

The fourth proportional to 160.85, 241.30 and 52.61 is: 78.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.85 : 241.30 = 52.61 : x
  2. Step 2: Convert to fraction form
    160.85/241.30 = 52.61/x
  3. Step 3: Cross multiply
    160.85x = 241.30 × 52.61
  4. Step 4: Simplify right side
    160.85x = 12,693.59
  5. Step 5: Solve for x
    x = 12,693.59/160.85
  6. Step 6: Final answer
    x = 78.92

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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.