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Finding the Fourth Proportional to 701.39, 1,051.92 and 214.31

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Solution

The fourth proportional to 701.39, 1,051.92 and 214.31 is: 321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.39 : 1,051.92 = 214.31 : x
  2. Step 2: Convert to fraction form
    701.39/1,051.92 = 214.31/x
  3. Step 3: Cross multiply
    701.39x = 1,051.92 × 214.31
  4. Step 4: Simplify right side
    701.39x = 225,439.61
  5. Step 5: Solve for x
    x = 225,439.61/701.39
  6. Step 6: Final answer
    x = 321.42

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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.