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Finding the Fourth Proportional to 184.83, 254.97 and 128.79

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Solution

The fourth proportional to 184.83, 254.97 and 128.79 is: 177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.83 : 254.97 = 128.79 : x
  2. Step 2: Convert to fraction form
    184.83/254.97 = 128.79/x
  3. Step 3: Cross multiply
    184.83x = 254.97 × 128.79
  4. Step 4: Simplify right side
    184.83x = 32,837.59
  5. Step 5: Solve for x
    x = 32,837.59/184.83
  6. Step 6: Final answer
    x = 177.66

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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.