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Finding the Fourth Proportional to 384.63, 576.71 and 211.00

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Solution

The fourth proportional to 384.63, 576.71 and 211.00 is: 316.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.63 : 576.71 = 211.00 : x
  2. Step 2: Convert to fraction form
    384.63/576.71 = 211.00/x
  3. Step 3: Cross multiply
    384.63x = 576.71 × 211.00
  4. Step 4: Simplify right side
    384.63x = 121,682.93
  5. Step 5: Solve for x
    x = 121,682.93/384.63
  6. Step 6: Final answer
    x = 316.37

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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.