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Finding the Fourth Proportional to 245.29, 369.70 and 211.46

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Solution

The fourth proportional to 245.29, 369.70 and 211.46 is: 318.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.29 : 369.70 = 211.46 : x
  2. Step 2: Convert to fraction form
    245.29/369.70 = 211.46/x
  3. Step 3: Cross multiply
    245.29x = 369.70 × 211.46
  4. Step 4: Simplify right side
    245.29x = 78,174.78
  5. Step 5: Solve for x
    x = 78,174.78/245.29
  6. Step 6: Final answer
    x = 318.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.