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Finding the Fourth Proportional to 128.82, 193.31 and 106.26

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Solution

The fourth proportional to 128.82, 193.31 and 106.26 is: 159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.82 : 193.31 = 106.26 : x
  2. Step 2: Convert to fraction form
    128.82/193.31 = 106.26/x
  3. Step 3: Cross multiply
    128.82x = 193.31 × 106.26
  4. Step 4: Simplify right side
    128.82x = 20,541.12
  5. Step 5: Solve for x
    x = 20,541.12/128.82
  6. Step 6: Final answer
    x = 159.46

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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.