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Finding the Fourth Proportional to 359.07, 495.33 and 226.45

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Solution

The fourth proportional to 359.07, 495.33 and 226.45 is: 312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.07 : 495.33 = 226.45 : x
  2. Step 2: Convert to fraction form
    359.07/495.33 = 226.45/x
  3. Step 3: Cross multiply
    359.07x = 495.33 × 226.45
  4. Step 4: Simplify right side
    359.07x = 112,167.48
  5. Step 5: Solve for x
    x = 112,167.48/359.07
  6. Step 6: Final answer
    x = 312.38

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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.