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Finding the Fourth Proportional to 183.86, 253.37 and 134.64

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Solution

The fourth proportional to 183.86, 253.37 and 134.64 is: 185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.86 : 253.37 = 134.64 : x
  2. Step 2: Convert to fraction form
    183.86/253.37 = 134.64/x
  3. Step 3: Cross multiply
    183.86x = 253.37 × 134.64
  4. Step 4: Simplify right side
    183.86x = 34,113.06
  5. Step 5: Solve for x
    x = 34,113.06/183.86
  6. Step 6: Final answer
    x = 185.54

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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.