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Finding the Fourth Proportional to 330.14, 455.63 and 199.15

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Solution

The fourth proportional to 330.14, 455.63 and 199.15 is: 274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.14 : 455.63 = 199.15 : x
  2. Step 2: Convert to fraction form
    330.14/455.63 = 199.15/x
  3. Step 3: Cross multiply
    330.14x = 455.63 × 199.15
  4. Step 4: Simplify right side
    330.14x = 90,738.71
  5. Step 5: Solve for x
    x = 90,738.71/330.14
  6. Step 6: Final answer
    x = 274.85

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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.