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Finding the Fourth Proportional to 359.35, 494.17 and 300.31

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Solution

The fourth proportional to 359.35, 494.17 and 300.31 is: 412.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.35 : 494.17 = 300.31 : x
  2. Step 2: Convert to fraction form
    359.35/494.17 = 300.31/x
  3. Step 3: Cross multiply
    359.35x = 494.17 × 300.31
  4. Step 4: Simplify right side
    359.35x = 148,404.19
  5. Step 5: Solve for x
    x = 148,404.19/359.35
  6. Step 6: Final answer
    x = 412.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.