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Finding the Fourth Proportional to 328.39, 492.62 and 111.94

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Solution

The fourth proportional to 328.39, 492.62 and 111.94 is: 167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.39 : 492.62 = 111.94 : x
  2. Step 2: Convert to fraction form
    328.39/492.62 = 111.94/x
  3. Step 3: Cross multiply
    328.39x = 492.62 × 111.94
  4. Step 4: Simplify right side
    328.39x = 55,142.09
  5. Step 5: Solve for x
    x = 55,142.09/328.39
  6. Step 6: Final answer
    x = 167.92

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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.