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Finding the Fourth Proportional to 368.21, 552.59 and 194.85

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Solution

The fourth proportional to 368.21, 552.59 and 194.85 is: 292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.21 : 552.59 = 194.85 : x
  2. Step 2: Convert to fraction form
    368.21/552.59 = 194.85/x
  3. Step 3: Cross multiply
    368.21x = 552.59 × 194.85
  4. Step 4: Simplify right side
    368.21x = 107,671.19
  5. Step 5: Solve for x
    x = 107,671.19/368.21
  6. Step 6: Final answer
    x = 292.42

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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.