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Finding the Fourth Proportional to 299.00, 450.65 and 282.26

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Solution

The fourth proportional to 299.00, 450.65 and 282.26 is: 425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.00 : 450.65 = 282.26 : x
  2. Step 2: Convert to fraction form
    299.00/450.65 = 282.26/x
  3. Step 3: Cross multiply
    299.00x = 450.65 × 282.26
  4. Step 4: Simplify right side
    299.00x = 127,200.64
  5. Step 5: Solve for x
    x = 127,200.64/299.00
  6. Step 6: Final answer
    x = 425.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.