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Finding the Fourth Proportional to 505.94, 759.21 and 213.43

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Solution

The fourth proportional to 505.94, 759.21 and 213.43 is: 320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.94 : 759.21 = 213.43 : x
  2. Step 2: Convert to fraction form
    505.94/759.21 = 213.43/x
  3. Step 3: Cross multiply
    505.94x = 759.21 × 213.43
  4. Step 4: Simplify right side
    505.94x = 162,033.86
  5. Step 5: Solve for x
    x = 162,033.86/505.94
  6. Step 6: Final answer
    x = 320.26

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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.