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Finding the Fourth Proportional to 218.81, 299.52 and 211.82

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Solution

The fourth proportional to 218.81, 299.52 and 211.82 is: 289.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.81 : 299.52 = 211.82 : x
  2. Step 2: Convert to fraction form
    218.81/299.52 = 211.82/x
  3. Step 3: Cross multiply
    218.81x = 299.52 × 211.82
  4. Step 4: Simplify right side
    218.81x = 63,442.83
  5. Step 5: Solve for x
    x = 63,442.83/218.81
  6. Step 6: Final answer
    x = 289.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.