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Finding the Fourth Proportional to 305.83, 421.95 and 195.31

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Solution

The fourth proportional to 305.83, 421.95 and 195.31 is: 269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.83 : 421.95 = 195.31 : x
  2. Step 2: Convert to fraction form
    305.83/421.95 = 195.31/x
  3. Step 3: Cross multiply
    305.83x = 421.95 × 195.31
  4. Step 4: Simplify right side
    305.83x = 82,411.05
  5. Step 5: Solve for x
    x = 82,411.05/305.83
  6. Step 6: Final answer
    x = 269.47

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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.