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Finding the Fourth Proportional to 170.14, 254 and 149.42

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Solution

The fourth proportional to 170.14, 254 and 149.42 is: 223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.14 : 254 = 149.42 : x
  2. Step 2: Convert to fraction form
    170.14/254 = 149.42/x
  3. Step 3: Cross multiply
    170.14x = 254 × 149.42
  4. Step 4: Simplify right side
    170.14x = 37,952.68
  5. Step 5: Solve for x
    x = 37,952.68/170.14
  6. Step 6: Final answer
    x = 223.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.