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Finding the Fourth Proportional to 330.04, 455.38 and 199.08

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Solution

The fourth proportional to 330.04, 455.38 and 199.08 is: 274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.04 : 455.38 = 199.08 : x
  2. Step 2: Convert to fraction form
    330.04/455.38 = 199.08/x
  3. Step 3: Cross multiply
    330.04x = 455.38 × 199.08
  4. Step 4: Simplify right side
    330.04x = 90,657.05
  5. Step 5: Solve for x
    x = 90,657.05/330.04
  6. Step 6: Final answer
    x = 274.69

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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.