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Finding the Fourth Proportional to 384.55, 576.82 and 331.69

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Solution

The fourth proportional to 384.55, 576.82 and 331.69 is: 497.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.55 : 576.82 = 331.69 : x
  2. Step 2: Convert to fraction form
    384.55/576.82 = 331.69/x
  3. Step 3: Cross multiply
    384.55x = 576.82 × 331.69
  4. Step 4: Simplify right side
    384.55x = 191,326.04
  5. Step 5: Solve for x
    x = 191,326.04/384.55
  6. Step 6: Final answer
    x = 497.54

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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.