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Finding the Fourth Proportional to 280.15, 419.85 and 126.05

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Solution

The fourth proportional to 280.15, 419.85 and 126.05 is: 188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.15 : 419.85 = 126.05 : x
  2. Step 2: Convert to fraction form
    280.15/419.85 = 126.05/x
  3. Step 3: Cross multiply
    280.15x = 419.85 × 126.05
  4. Step 4: Simplify right side
    280.15x = 52,919.99
  5. Step 5: Solve for x
    x = 52,919.99/280.15
  6. Step 6: Final answer
    x = 188.90

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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.