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Finding the Fourth Proportional to 305.07, 420.83 and 194.36

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Solution

The fourth proportional to 305.07, 420.83 and 194.36 is: 268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.07 : 420.83 = 194.36 : x
  2. Step 2: Convert to fraction form
    305.07/420.83 = 194.36/x
  3. Step 3: Cross multiply
    305.07x = 420.83 × 194.36
  4. Step 4: Simplify right side
    305.07x = 81,789.44
  5. Step 5: Solve for x
    x = 81,789.44/305.07
  6. Step 6: Final answer
    x = 268.10

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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.