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Finding the Fourth Proportional to 359.22, 495.70 and 211.84

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Solution

The fourth proportional to 359.22, 495.70 and 211.84 is: 292.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.22 : 495.70 = 211.84 : x
  2. Step 2: Convert to fraction form
    359.22/495.70 = 211.84/x
  3. Step 3: Cross multiply
    359.22x = 495.70 × 211.84
  4. Step 4: Simplify right side
    359.22x = 105,009.09
  5. Step 5: Solve for x
    x = 105,009.09/359.22
  6. Step 6: Final answer
    x = 292.33

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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.