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Finding the Fourth Proportional to 334.19, 500.83 and 212.23

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Solution

The fourth proportional to 334.19, 500.83 and 212.23 is: 318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.19 : 500.83 = 212.23 : x
  2. Step 2: Convert to fraction form
    334.19/500.83 = 212.23/x
  3. Step 3: Cross multiply
    334.19x = 500.83 × 212.23
  4. Step 4: Simplify right side
    334.19x = 106,291.15
  5. Step 5: Solve for x
    x = 106,291.15/334.19
  6. Step 6: Final answer
    x = 318.06

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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.