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Finding the Fourth Proportional to 170.42, 255.46 and 136.24

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Solution

The fourth proportional to 170.42, 255.46 and 136.24 is: 204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.42 : 255.46 = 136.24 : x
  2. Step 2: Convert to fraction form
    170.42/255.46 = 136.24/x
  3. Step 3: Cross multiply
    170.42x = 255.46 × 136.24
  4. Step 4: Simplify right side
    170.42x = 34,803.87
  5. Step 5: Solve for x
    x = 34,803.87/170.42
  6. Step 6: Final answer
    x = 204.22

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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.