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Finding the Fourth Proportional to 223.84, 307.26 and 219.76

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Solution

The fourth proportional to 223.84, 307.26 and 219.76 is: 301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.84 : 307.26 = 219.76 : x
  2. Step 2: Convert to fraction form
    223.84/307.26 = 219.76/x
  3. Step 3: Cross multiply
    223.84x = 307.26 × 219.76
  4. Step 4: Simplify right side
    223.84x = 67,523.46
  5. Step 5: Solve for x
    x = 67,523.46/223.84
  6. Step 6: Final answer
    x = 301.66

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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.