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Finding the Fourth Proportional to 277.35, 382.55 and 160.94

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Solution

The fourth proportional to 277.35, 382.55 and 160.94 is: 221.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.35 : 382.55 = 160.94 : x
  2. Step 2: Convert to fraction form
    277.35/382.55 = 160.94/x
  3. Step 3: Cross multiply
    277.35x = 382.55 × 160.94
  4. Step 4: Simplify right side
    277.35x = 61,564.88
  5. Step 5: Solve for x
    x = 61,564.88/277.35
  6. Step 6: Final answer
    x = 221.98

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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.