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Finding the Fourth Proportional to 304.11, 419.11 and 238.50

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Solution

The fourth proportional to 304.11, 419.11 and 238.50 is: 328.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.11 : 419.11 = 238.50 : x
  2. Step 2: Convert to fraction form
    304.11/419.11 = 238.50/x
  3. Step 3: Cross multiply
    304.11x = 419.11 × 238.50
  4. Step 4: Simplify right side
    304.11x = 99,957.14
  5. Step 5: Solve for x
    x = 99,957.14/304.11
  6. Step 6: Final answer
    x = 328.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.