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Finding the Fourth Proportional to 185.22, 253.94 and 181.93

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Solution

The fourth proportional to 185.22, 253.94 and 181.93 is: 249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.22 : 253.94 = 181.93 : x
  2. Step 2: Convert to fraction form
    185.22/253.94 = 181.93/x
  3. Step 3: Cross multiply
    185.22x = 253.94 × 181.93
  4. Step 4: Simplify right side
    185.22x = 46,199.12
  5. Step 5: Solve for x
    x = 46,199.12/185.22
  6. Step 6: Final answer
    x = 249.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.