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Finding the Fourth Proportional to 559.83, 839.90 and 194.65

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Solution

The fourth proportional to 559.83, 839.90 and 194.65 is: 292.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.83 : 839.90 = 194.65 : x
  2. Step 2: Convert to fraction form
    559.83/839.90 = 194.65/x
  3. Step 3: Cross multiply
    559.83x = 839.90 × 194.65
  4. Step 4: Simplify right side
    559.83x = 163,488.35
  5. Step 5: Solve for x
    x = 163,488.35/559.83
  6. Step 6: Final answer
    x = 292.03

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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.