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Finding the Fourth Proportional to 369.89, 554.48 and 196.45

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Solution

The fourth proportional to 369.89, 554.48 and 196.45 is: 294.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.89 : 554.48 = 196.45 : x
  2. Step 2: Convert to fraction form
    369.89/554.48 = 196.45/x
  3. Step 3: Cross multiply
    369.89x = 554.48 × 196.45
  4. Step 4: Simplify right side
    369.89x = 108,925.41
  5. Step 5: Solve for x
    x = 108,925.41/369.89
  6. Step 6: Final answer
    x = 294.48

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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.