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Finding the Fourth Proportional to 281.90, 388.59 and 198.77

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Solution

The fourth proportional to 281.90, 388.59 and 198.77 is: 274.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.90 : 388.59 = 198.77 : x
  2. Step 2: Convert to fraction form
    281.90/388.59 = 198.77/x
  3. Step 3: Cross multiply
    281.90x = 388.59 × 198.77
  4. Step 4: Simplify right side
    281.90x = 77,238.09
  5. Step 5: Solve for x
    x = 77,238.09/281.90
  6. Step 6: Final answer
    x = 274.00

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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.