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Finding the Fourth Proportional to 205.84, 308.22 and 154.27

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Solution

The fourth proportional to 205.84, 308.22 and 154.27 is: 231.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.84 : 308.22 = 154.27 : x
  2. Step 2: Convert to fraction form
    205.84/308.22 = 154.27/x
  3. Step 3: Cross multiply
    205.84x = 308.22 × 154.27
  4. Step 4: Simplify right side
    205.84x = 47,549.10
  5. Step 5: Solve for x
    x = 47,549.10/205.84
  6. Step 6: Final answer
    x = 231.00

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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.