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Finding the Fourth Proportional to 170.62, 254.80 and 138.16

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Solution

The fourth proportional to 170.62, 254.80 and 138.16 is: 206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.62 : 254.80 = 138.16 : x
  2. Step 2: Convert to fraction form
    170.62/254.80 = 138.16/x
  3. Step 3: Cross multiply
    170.62x = 254.80 × 138.16
  4. Step 4: Simplify right side
    170.62x = 35,203.17
  5. Step 5: Solve for x
    x = 35,203.17/170.62
  6. Step 6: Final answer
    x = 206.32

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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.