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Finding the Fourth Proportional to 215.26, 321.44 and 194.50

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Solution

The fourth proportional to 215.26, 321.44 and 194.50 is: 290.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.26 : 321.44 = 194.50 : x
  2. Step 2: Convert to fraction form
    215.26/321.44 = 194.50/x
  3. Step 3: Cross multiply
    215.26x = 321.44 × 194.50
  4. Step 4: Simplify right side
    215.26x = 62,519.51
  5. Step 5: Solve for x
    x = 62,519.51/215.26
  6. Step 6: Final answer
    x = 290.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.