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Finding the Fourth Proportional to 298.45, 411.60 and 193.50

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Solution

The fourth proportional to 298.45, 411.60 and 193.50 is: 266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.45 : 411.60 = 193.50 : x
  2. Step 2: Convert to fraction form
    298.45/411.60 = 193.50/x
  3. Step 3: Cross multiply
    298.45x = 411.60 × 193.50
  4. Step 4: Simplify right side
    298.45x = 79,643.92
  5. Step 5: Solve for x
    x = 79,643.92/298.45
  6. Step 6: Final answer
    x = 266.86

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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.