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Finding the Fourth Proportional to 280.49, 421.00 and 126.59

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Solution

The fourth proportional to 280.49, 421.00 and 126.59 is: 190.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.49 : 421.00 = 126.59 : x
  2. Step 2: Convert to fraction form
    280.49/421.00 = 126.59/x
  3. Step 3: Cross multiply
    280.49x = 421.00 × 126.59
  4. Step 4: Simplify right side
    280.49x = 53,291.97
  5. Step 5: Solve for x
    x = 53,291.97/280.49
  6. Step 6: Final answer
    x = 190.00

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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.