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Finding the Fourth Proportional to 280.75, 421.16 and 126.75

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Solution

The fourth proportional to 280.75, 421.16 and 126.75 is: 190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.75 : 421.16 = 126.75 : x
  2. Step 2: Convert to fraction form
    280.75/421.16 = 126.75/x
  3. Step 3: Cross multiply
    280.75x = 421.16 × 126.75
  4. Step 4: Simplify right side
    280.75x = 53,382.03
  5. Step 5: Solve for x
    x = 53,382.03/280.75
  6. Step 6: Final answer
    x = 190.14

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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.