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Finding the Fourth Proportional to 277.29, 382.59 and 160.78

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Solution

The fourth proportional to 277.29, 382.59 and 160.78 is: 221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.29 : 382.59 = 160.78 : x
  2. Step 2: Convert to fraction form
    277.29/382.59 = 160.78/x
  3. Step 3: Cross multiply
    277.29x = 382.59 × 160.78
  4. Step 4: Simplify right side
    277.29x = 61,513.90
  5. Step 5: Solve for x
    x = 61,513.90/277.29
  6. Step 6: Final answer
    x = 221.84

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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.