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Finding the Fourth Proportional to 257.84, 355.60 and 198.84

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Solution

The fourth proportional to 257.84, 355.60 and 198.84 is: 274.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.84 : 355.60 = 198.84 : x
  2. Step 2: Convert to fraction form
    257.84/355.60 = 198.84/x
  3. Step 3: Cross multiply
    257.84x = 355.60 × 198.84
  4. Step 4: Simplify right side
    257.84x = 70,707.50
  5. Step 5: Solve for x
    x = 70,707.50/257.84
  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.