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Finding the Fourth Proportional to 183.59, 253.25 and 109.86

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Solution

The fourth proportional to 183.59, 253.25 and 109.86 is: 151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.59 : 253.25 = 109.86 : x
  2. Step 2: Convert to fraction form
    183.59/253.25 = 109.86/x
  3. Step 3: Cross multiply
    183.59x = 253.25 × 109.86
  4. Step 4: Simplify right side
    183.59x = 27,822.05
  5. Step 5: Solve for x
    x = 27,822.05/183.59
  6. Step 6: Final answer
    x = 151.54

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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.