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Finding the Fourth Proportional to 183.98, 253.94 and 128.73

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Solution

The fourth proportional to 183.98, 253.94 and 128.73 is: 177.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.98 : 253.94 = 128.73 : x
  2. Step 2: Convert to fraction form
    183.98/253.94 = 128.73/x
  3. Step 3: Cross multiply
    183.98x = 253.94 × 128.73
  4. Step 4: Simplify right side
    183.98x = 32,689.05
  5. Step 5: Solve for x
    x = 32,689.05/183.98
  6. Step 6: Final answer
    x = 177.68

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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.