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Finding the Fourth Proportional to 170.76, 255.69 and 116.58

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Solution

The fourth proportional to 170.76, 255.69 and 116.58 is: 174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.76 : 255.69 = 116.58 : x
  2. Step 2: Convert to fraction form
    170.76/255.69 = 116.58/x
  3. Step 3: Cross multiply
    170.76x = 255.69 × 116.58
  4. Step 4: Simplify right side
    170.76x = 29,808.34
  5. Step 5: Solve for x
    x = 29,808.34/170.76
  6. Step 6: Final answer
    x = 174.56

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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.