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Finding the Fourth Proportional to 369.11, 553.89 and 206.90

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Solution

The fourth proportional to 369.11, 553.89 and 206.90 is: 310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.11 : 553.89 = 206.90 : x
  2. Step 2: Convert to fraction form
    369.11/553.89 = 206.90/x
  3. Step 3: Cross multiply
    369.11x = 553.89 × 206.90
  4. Step 4: Simplify right side
    369.11x = 114,599.84
  5. Step 5: Solve for x
    x = 114,599.84/369.11
  6. Step 6: Final answer
    x = 310.48

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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.