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Finding the Fourth Proportional to 170.55, 257.09 and 170.55

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Solution

The fourth proportional to 170.55, 257.09 and 170.55 is: 257.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.55 : 257.09 = 170.55 : x
  2. Step 2: Convert to fraction form
    170.55/257.09 = 170.55/x
  3. Step 3: Cross multiply
    170.55x = 257.09 × 170.55
  4. Step 4: Simplify right side
    170.55x = 43,845.85
  5. Step 5: Solve for x
    x = 43,845.85/170.55
  6. Step 6: Final answer
    x = 257.09

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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.