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Finding the Fourth Proportional to 170.09, 255.06 and 101.65

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Solution

The fourth proportional to 170.09, 255.06 and 101.65 is: 152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.09 : 255.06 = 101.65 : x
  2. Step 2: Convert to fraction form
    170.09/255.06 = 101.65/x
  3. Step 3: Cross multiply
    170.09x = 255.06 × 101.65
  4. Step 4: Simplify right side
    170.09x = 25,926.21
  5. Step 5: Solve for x
    x = 25,926.21/170.09
  6. Step 6: Final answer
    x = 152.42

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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.