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Finding the Fourth Proportional to 384.66, 576.18 and 254.21

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Solution

The fourth proportional to 384.66, 576.18 and 254.21 is: 380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.66 : 576.18 = 254.21 : x
  2. Step 2: Convert to fraction form
    384.66/576.18 = 254.21/x
  3. Step 3: Cross multiply
    384.66x = 576.18 × 254.21
  4. Step 4: Simplify right side
    384.66x = 146,470.72
  5. Step 5: Solve for x
    x = 146,470.72/384.66
  6. Step 6: Final answer
    x = 380.78

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Why These Related Problems?

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