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Finding the Fourth Proportional to 505.74, 758.79 and 213.31

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Solution

The fourth proportional to 505.74, 758.79 and 213.31 is: 320.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.74 : 758.79 = 213.31 : x
  2. Step 2: Convert to fraction form
    505.74/758.79 = 213.31/x
  3. Step 3: Cross multiply
    505.74x = 758.79 × 213.31
  4. Step 4: Simplify right side
    505.74x = 161,856.01
  5. Step 5: Solve for x
    x = 161,856.01/505.74
  6. Step 6: Final answer
    x = 320.04

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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.