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Finding the Fourth Proportional to 277.42, 382.78 and 160.98

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Solution

The fourth proportional to 277.42, 382.78 and 160.98 is: 222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.42 : 382.78 = 160.98 : x
  2. Step 2: Convert to fraction form
    277.42/382.78 = 160.98/x
  3. Step 3: Cross multiply
    277.42x = 382.78 × 160.98
  4. Step 4: Simplify right side
    277.42x = 61,619.92
  5. Step 5: Solve for x
    x = 61,619.92/277.42
  6. Step 6: Final answer
    x = 222.12

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Why These Related Problems?

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