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Finding the Fourth Proportional to 128.59, 177.25 and 106.19

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Solution

The fourth proportional to 128.59, 177.25 and 106.19 is: 146.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.59 : 177.25 = 106.19 : x
  2. Step 2: Convert to fraction form
    128.59/177.25 = 106.19/x
  3. Step 3: Cross multiply
    128.59x = 177.25 × 106.19
  4. Step 4: Simplify right side
    128.59x = 18,821.03
  5. Step 5: Solve for x
    x = 18,821.03/128.59
  6. Step 6: Final answer
    x = 146.37

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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.