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Finding the Fourth Proportional to 170.49, 255.81 and 102.06

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Solution

The fourth proportional to 170.49, 255.81 and 102.06 is: 153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.49 : 255.81 = 102.06 : x
  2. Step 2: Convert to fraction form
    170.49/255.81 = 102.06/x
  3. Step 3: Cross multiply
    170.49x = 255.81 × 102.06
  4. Step 4: Simplify right side
    170.49x = 26,107.97
  5. Step 5: Solve for x
    x = 26,107.97/170.49
  6. Step 6: Final answer
    x = 153.13

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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.