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Finding the Fourth Proportional to 450.60, 622.26 and 295.80

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Solution

The fourth proportional to 450.60, 622.26 and 295.80 is: 408.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.60 : 622.26 = 295.80 : x
  2. Step 2: Convert to fraction form
    450.60/622.26 = 295.80/x
  3. Step 3: Cross multiply
    450.60x = 622.26 × 295.80
  4. Step 4: Simplify right side
    450.60x = 184,064.51
  5. Step 5: Solve for x
    x = 184,064.51/450.60
  6. Step 6: Final answer
    x = 408.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.