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Finding the Fourth Proportional to 183.64, 253.26 and 141.88

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Solution

The fourth proportional to 183.64, 253.26 and 141.88 is: 195.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.64 : 253.26 = 141.88 : x
  2. Step 2: Convert to fraction form
    183.64/253.26 = 141.88/x
  3. Step 3: Cross multiply
    183.64x = 253.26 × 141.88
  4. Step 4: Simplify right side
    183.64x = 35,932.53
  5. Step 5: Solve for x
    x = 35,932.53/183.64
  6. Step 6: Final answer
    x = 195.67

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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.