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Finding the Fourth Proportional to 455.81, 629.22 and 350.86

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Solution

The fourth proportional to 455.81, 629.22 and 350.86 is: 484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.81 : 629.22 = 350.86 : x
  2. Step 2: Convert to fraction form
    455.81/629.22 = 350.86/x
  3. Step 3: Cross multiply
    455.81x = 629.22 × 350.86
  4. Step 4: Simplify right side
    455.81x = 220,763.23
  5. Step 5: Solve for x
    x = 220,763.23/455.81
  6. Step 6: Final answer
    x = 484.34

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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.