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Finding the Fourth Proportional to 559.39, 839.24 and 194.21

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Solution

The fourth proportional to 559.39, 839.24 and 194.21 is: 291.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.39 : 839.24 = 194.21 : x
  2. Step 2: Convert to fraction form
    559.39/839.24 = 194.21/x
  3. Step 3: Cross multiply
    559.39x = 839.24 × 194.21
  4. Step 4: Simplify right side
    559.39x = 162,984.60
  5. Step 5: Solve for x
    x = 162,984.60/559.39
  6. Step 6: Final answer
    x = 291.36

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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.