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Finding the Fourth Proportional to 368.45, 552.26 and 195.31

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Solution

The fourth proportional to 368.45, 552.26 and 195.31 is: 292.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.45 : 552.26 = 195.31 : x
  2. Step 2: Convert to fraction form
    368.45/552.26 = 195.31/x
  3. Step 3: Cross multiply
    368.45x = 552.26 × 195.31
  4. Step 4: Simplify right side
    368.45x = 107,859.54
  5. Step 5: Solve for x
    x = 107,859.54/368.45
  6. Step 6: Final answer
    x = 292.74

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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.