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Finding the Fourth Proportional to 395.22, 592.38 and 212.70

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Solution

The fourth proportional to 395.22, 592.38 and 212.70 is: 318.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.22 : 592.38 = 212.70 : x
  2. Step 2: Convert to fraction form
    395.22/592.38 = 212.70/x
  3. Step 3: Cross multiply
    395.22x = 592.38 × 212.70
  4. Step 4: Simplify right side
    395.22x = 125,999.23
  5. Step 5: Solve for x
    x = 125,999.23/395.22
  6. Step 6: Final answer
    x = 318.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.