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Finding the Fourth Proportional to 270.94, 374.07 and 193.18

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Solution

The fourth proportional to 270.94, 374.07 and 193.18 is: 266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.94 : 374.07 = 193.18 : x
  2. Step 2: Convert to fraction form
    270.94/374.07 = 193.18/x
  3. Step 3: Cross multiply
    270.94x = 374.07 × 193.18
  4. Step 4: Simplify right side
    270.94x = 72,262.84
  5. Step 5: Solve for x
    x = 72,262.84/270.94
  6. Step 6: Final answer
    x = 266.71

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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.