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Finding the Fourth Proportional to 455.42, 629.30 and 324.20

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Solution

The fourth proportional to 455.42, 629.30 and 324.20 is: 447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.42 : 629.30 = 324.20 : x
  2. Step 2: Convert to fraction form
    455.42/629.30 = 324.20/x
  3. Step 3: Cross multiply
    455.42x = 629.30 × 324.20
  4. Step 4: Simplify right side
    455.42x = 204,015.91
  5. Step 5: Solve for x
    x = 204,015.91/455.42
  6. Step 6: Final answer
    x = 447.98

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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.