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Finding the Fourth Proportional to 384.57, 576.32 and 263.34

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Solution

The fourth proportional to 384.57, 576.32 and 263.34 is: 394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.57 : 576.32 = 263.34 : x
  2. Step 2: Convert to fraction form
    384.57/576.32 = 263.34/x
  3. Step 3: Cross multiply
    384.57x = 576.32 × 263.34
  4. Step 4: Simplify right side
    384.57x = 151,766.79
  5. Step 5: Solve for x
    x = 151,766.79/384.57
  6. Step 6: Final answer
    x = 394.64

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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.