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Finding the Fourth Proportional to 277.71, 382.86 and 190.23

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Solution

The fourth proportional to 277.71, 382.86 and 190.23 is: 262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.71 : 382.86 = 190.23 : x
  2. Step 2: Convert to fraction form
    277.71/382.86 = 190.23/x
  3. Step 3: Cross multiply
    277.71x = 382.86 × 190.23
  4. Step 4: Simplify right side
    277.71x = 72,831.46
  5. Step 5: Solve for x
    x = 72,831.46/277.71
  6. Step 6: Final answer
    x = 262.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.