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Finding the Fourth Proportional to 359.78, 537.05 and 308.75

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Solution

The fourth proportional to 359.78, 537.05 and 308.75 is: 460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.78 : 537.05 = 308.75 : x
  2. Step 2: Convert to fraction form
    359.78/537.05 = 308.75/x
  3. Step 3: Cross multiply
    359.78x = 537.05 × 308.75
  4. Step 4: Simplify right side
    359.78x = 165,813.99
  5. Step 5: Solve for x
    x = 165,813.99/359.78
  6. Step 6: Final answer
    x = 460.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.