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Finding the Fourth Proportional to 384.84, 576.46 and 327.32

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Solution

The fourth proportional to 384.84, 576.46 and 327.32 is: 490.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.84 : 576.46 = 327.32 : x
  2. Step 2: Convert to fraction form
    384.84/576.46 = 327.32/x
  3. Step 3: Cross multiply
    384.84x = 576.46 × 327.32
  4. Step 4: Simplify right side
    384.84x = 188,686.89
  5. Step 5: Solve for x
    x = 188,686.89/384.84
  6. Step 6: Final answer
    x = 490.30

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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.