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Finding the Fourth Proportional to 450.85, 622.14 and 259.22

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Solution

The fourth proportional to 450.85, 622.14 and 259.22 is: 357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.85 : 622.14 = 259.22 : x
  2. Step 2: Convert to fraction form
    450.85/622.14 = 259.22/x
  3. Step 3: Cross multiply
    450.85x = 622.14 × 259.22
  4. Step 4: Simplify right side
    450.85x = 161,268.21
  5. Step 5: Solve for x
    x = 161,268.21/450.85
  6. Step 6: Final answer
    x = 357.70

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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.