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Finding the Fourth Proportional to 183.91, 253.23 and 180.31

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Solution

The fourth proportional to 183.91, 253.23 and 180.31 is: 248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.91 : 253.23 = 180.31 : x
  2. Step 2: Convert to fraction form
    183.91/253.23 = 180.31/x
  3. Step 3: Cross multiply
    183.91x = 253.23 × 180.31
  4. Step 4: Simplify right side
    183.91x = 45,659.90
  5. Step 5: Solve for x
    x = 45,659.90/183.91
  6. Step 6: Final answer
    x = 248.27

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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.