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Finding the Fourth Proportional to 277.41, 414.33 and 238.43

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Solution

The fourth proportional to 277.41, 414.33 and 238.43 is: 356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.41 : 414.33 = 238.43 : x
  2. Step 2: Convert to fraction form
    277.41/414.33 = 238.43/x
  3. Step 3: Cross multiply
    277.41x = 414.33 × 238.43
  4. Step 4: Simplify right side
    277.41x = 98,786.63
  5. Step 5: Solve for x
    x = 98,786.63/277.41
  6. Step 6: Final answer
    x = 356.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.