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Finding the Fourth Proportional to 268.46, 369.51 and 190.70

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Solution

The fourth proportional to 268.46, 369.51 and 190.70 is: 262.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.46 : 369.51 = 190.70 : x
  2. Step 2: Convert to fraction form
    268.46/369.51 = 190.70/x
  3. Step 3: Cross multiply
    268.46x = 369.51 × 190.70
  4. Step 4: Simplify right side
    268.46x = 70,465.56
  5. Step 5: Solve for x
    x = 70,465.56/268.46
  6. Step 6: Final answer
    x = 262.48

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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.