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Finding the Fourth Proportional to 244.18, 364.21 and 205.22

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Solution

The fourth proportional to 244.18, 364.21 and 205.22 is: 306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.18 : 364.21 = 205.22 : x
  2. Step 2: Convert to fraction form
    244.18/364.21 = 205.22/x
  3. Step 3: Cross multiply
    244.18x = 364.21 × 205.22
  4. Step 4: Simplify right side
    244.18x = 74,743.18
  5. Step 5: Solve for x
    x = 74,743.18/244.18
  6. Step 6: Final answer
    x = 306.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.