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Finding the Fourth Proportional to 221.28, 307.50 and 219.06

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Solution

The fourth proportional to 221.28, 307.50 and 219.06 is: 304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.28 : 307.50 = 219.06 : x
  2. Step 2: Convert to fraction form
    221.28/307.50 = 219.06/x
  3. Step 3: Cross multiply
    221.28x = 307.50 × 219.06
  4. Step 4: Simplify right side
    221.28x = 67,360.95
  5. Step 5: Solve for x
    x = 67,360.95/221.28
  6. Step 6: Final answer
    x = 304.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.