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Finding the Fourth Proportional to 375.62, 561.98 and 327.42

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Solution

The fourth proportional to 375.62, 561.98 and 327.42 is: 489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.62 : 561.98 = 327.42 : x
  2. Step 2: Convert to fraction form
    375.62/561.98 = 327.42/x
  3. Step 3: Cross multiply
    375.62x = 561.98 × 327.42
  4. Step 4: Simplify right side
    375.62x = 184,003.49
  5. Step 5: Solve for x
    x = 184,003.49/375.62
  6. Step 6: Final answer
    x = 489.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.