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Finding the Fourth Proportional to 170.66, 254.99 and 138.26

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Solution

The fourth proportional to 170.66, 254.99 and 138.26 is: 206.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.66 : 254.99 = 138.26 : x
  2. Step 2: Convert to fraction form
    170.66/254.99 = 138.26/x
  3. Step 3: Cross multiply
    170.66x = 254.99 × 138.26
  4. Step 4: Simplify right side
    170.66x = 35,254.92
  5. Step 5: Solve for x
    x = 35,254.92/170.66
  6. Step 6: Final answer
    x = 206.58

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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.