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Finding the Fourth Proportional to 359.09, 495.24 and 289.12

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Solution

The fourth proportional to 359.09, 495.24 and 289.12 is: 398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.09 : 495.24 = 289.12 : x
  2. Step 2: Convert to fraction form
    359.09/495.24 = 289.12/x
  3. Step 3: Cross multiply
    359.09x = 495.24 × 289.12
  4. Step 4: Simplify right side
    359.09x = 143,183.86
  5. Step 5: Solve for x
    x = 143,183.86/359.09
  6. Step 6: Final answer
    x = 398.74

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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.