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Finding the Fourth Proportional to 456.63, 629.96 and 299.21

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Solution

The fourth proportional to 456.63, 629.96 and 299.21 is: 412.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.63 : 629.96 = 299.21 : x
  2. Step 2: Convert to fraction form
    456.63/629.96 = 299.21/x
  3. Step 3: Cross multiply
    456.63x = 629.96 × 299.21
  4. Step 4: Simplify right side
    456.63x = 188,490.41
  5. Step 5: Solve for x
    x = 188,490.41/456.63
  6. Step 6: Final answer
    x = 412.79

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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.