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Finding the Fourth Proportional to 505.61, 758.21 and 213.25

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Solution

The fourth proportional to 505.61, 758.21 and 213.25 is: 319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.61 : 758.21 = 213.25 : x
  2. Step 2: Convert to fraction form
    505.61/758.21 = 213.25/x
  3. Step 3: Cross multiply
    505.61x = 758.21 × 213.25
  4. Step 4: Simplify right side
    505.61x = 161,684.30
  5. Step 5: Solve for x
    x = 161,684.30/505.61
  6. Step 6: Final answer
    x = 319.78

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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.