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Finding the Fourth Proportional to 223.49, 307.09 and 181.94

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Solution

The fourth proportional to 223.49, 307.09 and 181.94 is: 250.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.49 : 307.09 = 181.94 : x
  2. Step 2: Convert to fraction form
    223.49/307.09 = 181.94/x
  3. Step 3: Cross multiply
    223.49x = 307.09 × 181.94
  4. Step 4: Simplify right side
    223.49x = 55,871.95
  5. Step 5: Solve for x
    x = 55,871.95/223.49
  6. Step 6: Final answer
    x = 250.00

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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.