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Finding the Fourth Proportional to 330.34, 455.74 and 219.78

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Solution

The fourth proportional to 330.34, 455.74 and 219.78 is: 303.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.34 : 455.74 = 219.78 : x
  2. Step 2: Convert to fraction form
    330.34/455.74 = 219.78/x
  3. Step 3: Cross multiply
    330.34x = 455.74 × 219.78
  4. Step 4: Simplify right side
    330.34x = 100,162.54
  5. Step 5: Solve for x
    x = 100,162.54/330.34
  6. Step 6: Final answer
    x = 303.21

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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.