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Finding the Fourth Proportional to 790.31, 1,185.48 and 213.19

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Solution

The fourth proportional to 790.31, 1,185.48 and 213.19 is: 319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.31 : 1,185.48 = 213.19 : x
  2. Step 2: Convert to fraction form
    790.31/1,185.48 = 213.19/x
  3. Step 3: Cross multiply
    790.31x = 1,185.48 × 213.19
  4. Step 4: Simplify right side
    790.31x = 252,729.52
  5. Step 5: Solve for x
    x = 252,729.52/790.31
  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.