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Finding the Fourth Proportional to 277.48, 382.55 and 198.91

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Solution

The fourth proportional to 277.48, 382.55 and 198.91 is: 274.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.48 : 382.55 = 198.91 : x
  2. Step 2: Convert to fraction form
    277.48/382.55 = 198.91/x
  3. Step 3: Cross multiply
    277.48x = 382.55 × 198.91
  4. Step 4: Simplify right side
    277.48x = 76,093.02
  5. Step 5: Solve for x
    x = 76,093.02/277.48
  6. Step 6: Final answer
    x = 274.23

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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.