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Finding the Fourth Proportional to 245.09, 366.76 and 212.97

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Solution

The fourth proportional to 245.09, 366.76 and 212.97 is: 318.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.09 : 366.76 = 212.97 : x
  2. Step 2: Convert to fraction form
    245.09/366.76 = 212.97/x
  3. Step 3: Cross multiply
    245.09x = 366.76 × 212.97
  4. Step 4: Simplify right side
    245.09x = 78,108.88
  5. Step 5: Solve for x
    x = 78,108.88/245.09
  6. Step 6: Final answer
    x = 318.69

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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.