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Finding the Fourth Proportional to 305.95, 459.50 and 196.49

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Solution

The fourth proportional to 305.95, 459.50 and 196.49 is: 295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.95 : 459.50 = 196.49 : x
  2. Step 2: Convert to fraction form
    305.95/459.50 = 196.49/x
  3. Step 3: Cross multiply
    305.95x = 459.50 × 196.49
  4. Step 4: Simplify right side
    305.95x = 90,285.94
  5. Step 5: Solve for x
    x = 90,285.94/305.95
  6. Step 6: Final answer
    x = 295.10

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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.