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Finding the Fourth Proportional to 369.87, 554.74 and 138.70

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Solution

The fourth proportional to 369.87, 554.74 and 138.70 is: 208.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.87 : 554.74 = 138.70 : x
  2. Step 2: Convert to fraction form
    369.87/554.74 = 138.70/x
  3. Step 3: Cross multiply
    369.87x = 554.74 × 138.70
  4. Step 4: Simplify right side
    369.87x = 76,942.44
  5. Step 5: Solve for x
    x = 76,942.44/369.87
  6. Step 6: Final answer
    x = 208.03

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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.