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Finding the Fourth Proportional to 559.56, 838.66 and 251.34

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Solution

The fourth proportional to 559.56, 838.66 and 251.34 is: 376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.56 : 838.66 = 251.34 : x
  2. Step 2: Convert to fraction form
    559.56/838.66 = 251.34/x
  3. Step 3: Cross multiply
    559.56x = 838.66 × 251.34
  4. Step 4: Simplify right side
    559.56x = 210,788.80
  5. Step 5: Solve for x
    x = 210,788.80/559.56
  6. Step 6: Final answer
    x = 376.70

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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.