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Finding the Fourth Proportional to 205.60, 284.40 and 198.40

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Solution

The fourth proportional to 205.60, 284.40 and 198.40 is: 274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.60 : 284.40 = 198.40 : x
  2. Step 2: Convert to fraction form
    205.60/284.40 = 198.40/x
  3. Step 3: Cross multiply
    205.60x = 284.40 × 198.40
  4. Step 4: Simplify right side
    205.60x = 56,424.96
  5. Step 5: Solve for x
    x = 56,424.96/205.60
  6. Step 6: Final answer
    x = 274.44

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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.