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Finding the Fourth Proportional to 369.83, 554.54 and 109.79

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Solution

The fourth proportional to 369.83, 554.54 and 109.79 is: 164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.83 : 554.54 = 109.79 : x
  2. Step 2: Convert to fraction form
    369.83/554.54 = 109.79/x
  3. Step 3: Cross multiply
    369.83x = 554.54 × 109.79
  4. Step 4: Simplify right side
    369.83x = 60,883.57
  5. Step 5: Solve for x
    x = 60,883.57/369.83
  6. Step 6: Final answer
    x = 164.63

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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.