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Finding the Fourth Proportional to 369.75, 554.61 and 109.74

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Solution

The fourth proportional to 369.75, 554.61 and 109.74 is: 164.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.75 : 554.61 = 109.74 : x
  2. Step 2: Convert to fraction form
    369.75/554.61 = 109.74/x
  3. Step 3: Cross multiply
    369.75x = 554.61 × 109.74
  4. Step 4: Simplify right side
    369.75x = 60,862.90
  5. Step 5: Solve for x
    x = 60,862.90/369.75
  6. Step 6: Final answer
    x = 164.61

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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.