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Finding the Fourth Proportional to 170.15, 234.41 and 128.66

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Solution

The fourth proportional to 170.15, 234.41 and 128.66 is: 177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.15 : 234.41 = 128.66 : x
  2. Step 2: Convert to fraction form
    170.15/234.41 = 128.66/x
  3. Step 3: Cross multiply
    170.15x = 234.41 × 128.66
  4. Step 4: Simplify right side
    170.15x = 30,157.38
  5. Step 5: Solve for x
    x = 30,157.38/170.15
  6. Step 6: Final answer
    x = 177.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.