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Finding the Fourth Proportional to 359.08, 537.85 and 204.92

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Solution

The fourth proportional to 359.08, 537.85 and 204.92 is: 306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.08 : 537.85 = 204.92 : x
  2. Step 2: Convert to fraction form
    359.08/537.85 = 204.92/x
  3. Step 3: Cross multiply
    359.08x = 537.85 × 204.92
  4. Step 4: Simplify right side
    359.08x = 110,217.05
  5. Step 5: Solve for x
    x = 110,217.05/359.08
  6. Step 6: Final answer
    x = 306.95

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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.