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Finding the Fourth Proportional to 369.78, 554.81 and 126.30

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Solution

The fourth proportional to 369.78, 554.81 and 126.30 is: 189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.78 : 554.81 = 126.30 : x
  2. Step 2: Convert to fraction form
    369.78/554.81 = 126.30/x
  3. Step 3: Cross multiply
    369.78x = 554.81 × 126.30
  4. Step 4: Simplify right side
    369.78x = 70,072.50
  5. Step 5: Solve for x
    x = 70,072.50/369.78
  6. Step 6: Final answer
    x = 189.50

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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.