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Finding the Fourth Proportional to 369.73, 554.74 and 205.17

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Solution

The fourth proportional to 369.73, 554.74 and 205.17 is: 307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.73 : 554.74 = 205.17 : x
  2. Step 2: Convert to fraction form
    369.73/554.74 = 205.17/x
  3. Step 3: Cross multiply
    369.73x = 554.74 × 205.17
  4. Step 4: Simplify right side
    369.73x = 113,813.41
  5. Step 5: Solve for x
    x = 113,813.41/369.73
  6. Step 6: Final answer
    x = 307.83

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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.