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Finding the Fourth Proportional to 170.03, 255.29 and 119.00

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Solution

The fourth proportional to 170.03, 255.29 and 119.00 is: 178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.03 : 255.29 = 119.00 : x
  2. Step 2: Convert to fraction form
    170.03/255.29 = 119.00/x
  3. Step 3: Cross multiply
    170.03x = 255.29 × 119.00
  4. Step 4: Simplify right side
    170.03x = 30,377.64
  5. Step 5: Solve for x
    x = 30,377.64/170.03
  6. Step 6: Final answer
    x = 178.67

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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.