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Finding the Fourth Proportional to 384.89, 576.31 and 263.39

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Solution

The fourth proportional to 384.89, 576.31 and 263.39 is: 394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.89 : 576.31 = 263.39 : x
  2. Step 2: Convert to fraction form
    384.89/576.31 = 263.39/x
  3. Step 3: Cross multiply
    384.89x = 576.31 × 263.39
  4. Step 4: Simplify right side
    384.89x = 151,794.29
  5. Step 5: Solve for x
    x = 151,794.29/384.89
  6. Step 6: Final answer
    x = 394.38

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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.