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Finding the Fourth Proportional to 304.20, 420.18 and 194.04

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Solution

The fourth proportional to 304.20, 420.18 and 194.04 is: 268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.20 : 420.18 = 194.04 : x
  2. Step 2: Convert to fraction form
    304.20/420.18 = 194.04/x
  3. Step 3: Cross multiply
    304.20x = 420.18 × 194.04
  4. Step 4: Simplify right side
    304.20x = 81,531.73
  5. Step 5: Solve for x
    x = 81,531.73/304.20
  6. Step 6: Final answer
    x = 268.02

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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.