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Finding the Fourth Proportional to 369.21, 552.81 and 195.51

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Solution

The fourth proportional to 369.21, 552.81 and 195.51 is: 292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.21 : 552.81 = 195.51 : x
  2. Step 2: Convert to fraction form
    369.21/552.81 = 195.51/x
  3. Step 3: Cross multiply
    369.21x = 552.81 × 195.51
  4. Step 4: Simplify right side
    369.21x = 108,079.88
  5. Step 5: Solve for x
    x = 108,079.88/369.21
  6. Step 6: Final answer
    x = 292.73

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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.