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Finding the Fourth Proportional to 277.41, 416.18 and 94.81

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Solution

The fourth proportional to 277.41, 416.18 and 94.81 is: 142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.41 : 416.18 = 94.81 : x
  2. Step 2: Convert to fraction form
    277.41/416.18 = 94.81/x
  3. Step 3: Cross multiply
    277.41x = 416.18 × 94.81
  4. Step 4: Simplify right side
    277.41x = 39,456.75
  5. Step 5: Solve for x
    x = 39,456.75/277.41
  6. Step 6: Final answer
    x = 142.23

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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.