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Finding the Fourth Proportional to 277.43, 382.89 and 160.98

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Solution

The fourth proportional to 277.43, 382.89 and 160.98 is: 222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.43 : 382.89 = 160.98 : x
  2. Step 2: Convert to fraction form
    277.43/382.89 = 160.98/x
  3. Step 3: Cross multiply
    277.43x = 382.89 × 160.98
  4. Step 4: Simplify right side
    277.43x = 61,637.63
  5. Step 5: Solve for x
    x = 61,637.63/277.43
  6. Step 6: Final answer
    x = 222.18

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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.