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Finding the Fourth Proportional to 280.11, 419.90 and 198.75

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Solution

The fourth proportional to 280.11, 419.90 and 198.75 is: 297.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.11 : 419.90 = 198.75 : x
  2. Step 2: Convert to fraction form
    280.11/419.90 = 198.75/x
  3. Step 3: Cross multiply
    280.11x = 419.90 × 198.75
  4. Step 4: Simplify right side
    280.11x = 83,454.13
  5. Step 5: Solve for x
    x = 83,454.13/280.11
  6. Step 6: Final answer
    x = 297.93

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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.