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Finding the Fourth Proportional to 223.24, 307.71 and 174.04

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Solution

The fourth proportional to 223.24, 307.71 and 174.04 is: 239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.24 : 307.71 = 174.04 : x
  2. Step 2: Convert to fraction form
    223.24/307.71 = 174.04/x
  3. Step 3: Cross multiply
    223.24x = 307.71 × 174.04
  4. Step 4: Simplify right side
    223.24x = 53,553.85
  5. Step 5: Solve for x
    x = 53,553.85/223.24
  6. Step 6: Final answer
    x = 239.89

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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.