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Finding the Fourth Proportional to 384.01, 576.02 and 149.83

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Solution

The fourth proportional to 384.01, 576.02 and 149.83 is: 224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.01 : 576.02 = 149.83 : x
  2. Step 2: Convert to fraction form
    384.01/576.02 = 149.83/x
  3. Step 3: Cross multiply
    384.01x = 576.02 × 149.83
  4. Step 4: Simplify right side
    384.01x = 86,304.01
  5. Step 5: Solve for x
    x = 86,304.01/384.01
  6. Step 6: Final answer
    x = 224.75

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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.