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Finding the Fourth Proportional to 277.21, 382.61 and 188.74

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Solution

The fourth proportional to 277.21, 382.61 and 188.74 is: 260.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.21 : 382.61 = 188.74 : x
  2. Step 2: Convert to fraction form
    277.21/382.61 = 188.74/x
  3. Step 3: Cross multiply
    277.21x = 382.61 × 188.74
  4. Step 4: Simplify right side
    277.21x = 72,214.76
  5. Step 5: Solve for x
    x = 72,214.76/277.21
  6. Step 6: Final answer
    x = 260.50

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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.