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Finding the Fourth Proportional to 280.21, 419.77 and 136.03

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Solution

The fourth proportional to 280.21, 419.77 and 136.03 is: 203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.21 : 419.77 = 136.03 : x
  2. Step 2: Convert to fraction form
    280.21/419.77 = 136.03/x
  3. Step 3: Cross multiply
    280.21x = 419.77 × 136.03
  4. Step 4: Simplify right side
    280.21x = 57,098.87
  5. Step 5: Solve for x
    x = 57,098.87/280.21
  6. Step 6: Final answer
    x = 203.78

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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.