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Finding the Fourth Proportional to 170.73, 257.02 and 155.85

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Solution

The fourth proportional to 170.73, 257.02 and 155.85 is: 234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.73 : 257.02 = 155.85 : x
  2. Step 2: Convert to fraction form
    170.73/257.02 = 155.85/x
  3. Step 3: Cross multiply
    170.73x = 257.02 × 155.85
  4. Step 4: Simplify right side
    170.73x = 40,056.18
  5. Step 5: Solve for x
    x = 40,056.18/170.73
  6. Step 6: Final answer
    x = 234.62

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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.