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Finding the Fourth Proportional to 128.42, 177.02 and 84.09

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Solution

The fourth proportional to 128.42, 177.02 and 84.09 is: 115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.42 : 177.02 = 84.09 : x
  2. Step 2: Convert to fraction form
    128.42/177.02 = 84.09/x
  3. Step 3: Cross multiply
    128.42x = 177.02 × 84.09
  4. Step 4: Simplify right side
    128.42x = 14,884.73
  5. Step 5: Solve for x
    x = 14,884.73/128.42
  6. Step 6: Final answer
    x = 115.91

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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.