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Finding the Fourth Proportional to 384.15, 576.44 and 178.67

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Solution

The fourth proportional to 384.15, 576.44 and 178.67 is: 268.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.15 : 576.44 = 178.67 : x
  2. Step 2: Convert to fraction form
    384.15/576.44 = 178.67/x
  3. Step 3: Cross multiply
    384.15x = 576.44 × 178.67
  4. Step 4: Simplify right side
    384.15x = 102,993.75
  5. Step 5: Solve for x
    x = 102,993.75/384.15
  6. Step 6: Final answer
    x = 268.11

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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.