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Finding the Fourth Proportional to 183.26, 252.96 and 128

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Solution

The fourth proportional to 183.26, 252.96 and 128 is: 176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.26 : 252.96 = 128 : x
  2. Step 2: Convert to fraction form
    183.26/252.96 = 128/x
  3. Step 3: Cross multiply
    183.26x = 252.96 × 128
  4. Step 4: Simplify right side
    183.26x = 32,378.88
  5. Step 5: Solve for x
    x = 32,378.88/183.26
  6. Step 6: Final answer
    x = 176.68

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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.