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Finding the Fourth Proportional to 359.96, 541.31 and 305.28

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Solution

The fourth proportional to 359.96, 541.31 and 305.28 is: 459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.96 : 541.31 = 305.28 : x
  2. Step 2: Convert to fraction form
    359.96/541.31 = 305.28/x
  3. Step 3: Cross multiply
    359.96x = 541.31 × 305.28
  4. Step 4: Simplify right side
    359.96x = 165,249.59
  5. Step 5: Solve for x
    x = 165,249.59/359.96
  6. Step 6: Final answer
    x = 459.08

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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.