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Finding the Fourth Proportional to 295.14, 442.86 and 198.75

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Solution

The fourth proportional to 295.14, 442.86 and 198.75 is: 298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.14 : 442.86 = 198.75 : x
  2. Step 2: Convert to fraction form
    295.14/442.86 = 198.75/x
  3. Step 3: Cross multiply
    295.14x = 442.86 × 198.75
  4. Step 4: Simplify right side
    295.14x = 88,018.43
  5. Step 5: Solve for x
    x = 88,018.43/295.14
  6. Step 6: Final answer
    x = 298.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.