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Finding the Fourth Proportional to 359.73, 540.06 and 305.97

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Solution

The fourth proportional to 359.73, 540.06 and 305.97 is: 459.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.73 : 540.06 = 305.97 : x
  2. Step 2: Convert to fraction form
    359.73/540.06 = 305.97/x
  3. Step 3: Cross multiply
    359.73x = 540.06 × 305.97
  4. Step 4: Simplify right side
    359.73x = 165,241.39
  5. Step 5: Solve for x
    x = 165,241.39/359.73
  6. Step 6: Final answer
    x = 459.35

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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.