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Finding the Fourth Proportional to 280.49, 420.80 and 134.22

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Solution

The fourth proportional to 280.49, 420.80 and 134.22 is: 201.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.49 : 420.80 = 134.22 : x
  2. Step 2: Convert to fraction form
    280.49/420.80 = 134.22/x
  3. Step 3: Cross multiply
    280.49x = 420.80 × 134.22
  4. Step 4: Simplify right side
    280.49x = 56,480.68
  5. Step 5: Solve for x
    x = 56,480.68/280.49
  6. Step 6: Final answer
    x = 201.37

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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.