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Finding the Fourth Proportional to 305.27, 420.83 and 205.50

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Solution

The fourth proportional to 305.27, 420.83 and 205.50 is: 283.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.27 : 420.83 = 205.50 : x
  2. Step 2: Convert to fraction form
    305.27/420.83 = 205.50/x
  3. Step 3: Cross multiply
    305.27x = 420.83 × 205.50
  4. Step 4: Simplify right side
    305.27x = 86,481.08
  5. Step 5: Solve for x
    x = 86,481.08/305.27
  6. Step 6: Final answer
    x = 283.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.