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Finding the Fourth Proportional to 245.80, 368.19 and 204.80

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Solution

The fourth proportional to 245.80, 368.19 and 204.80 is: 306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.80 : 368.19 = 204.80 : x
  2. Step 2: Convert to fraction form
    245.80/368.19 = 204.80/x
  3. Step 3: Cross multiply
    245.80x = 368.19 × 204.80
  4. Step 4: Simplify right side
    245.80x = 75,405.31
  5. Step 5: Solve for x
    x = 75,405.31/245.80
  6. Step 6: Final answer
    x = 306.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.