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Finding the Fourth Proportional to 576.86, 865.45 and 211.96

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Solution

The fourth proportional to 576.86, 865.45 and 211.96 is: 318.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.86 : 865.45 = 211.96 : x
  2. Step 2: Convert to fraction form
    576.86/865.45 = 211.96/x
  3. Step 3: Cross multiply
    576.86x = 865.45 × 211.96
  4. Step 4: Simplify right side
    576.86x = 183,440.78
  5. Step 5: Solve for x
    x = 183,440.78/576.86
  6. Step 6: Final answer
    x = 318.00

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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.