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Finding the Fourth Proportional to 359.37, 495.92 and 212.02

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Solution

The fourth proportional to 359.37, 495.92 and 212.02 is: 292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.37 : 495.92 = 212.02 : x
  2. Step 2: Convert to fraction form
    359.37/495.92 = 212.02/x
  3. Step 3: Cross multiply
    359.37x = 495.92 × 212.02
  4. Step 4: Simplify right side
    359.37x = 105,144.25
  5. Step 5: Solve for x
    x = 105,144.25/359.37
  6. Step 6: Final answer
    x = 292.58

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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.