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Finding the Fourth Proportional to 384.46, 576.21 and 192.14

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Solution

The fourth proportional to 384.46, 576.21 and 192.14 is: 287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.46 : 576.21 = 192.14 : x
  2. Step 2: Convert to fraction form
    384.46/576.21 = 192.14/x
  3. Step 3: Cross multiply
    384.46x = 576.21 × 192.14
  4. Step 4: Simplify right side
    384.46x = 110,712.99
  5. Step 5: Solve for x
    x = 110,712.99/384.46
  6. Step 6: Final answer
    x = 287.97

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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.