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Finding the Fourth Proportional to 456.48, 629.71 and 299.38

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Solution

The fourth proportional to 456.48, 629.71 and 299.38 is: 412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.48 : 629.71 = 299.38 : x
  2. Step 2: Convert to fraction form
    456.48/629.71 = 299.38/x
  3. Step 3: Cross multiply
    456.48x = 629.71 × 299.38
  4. Step 4: Simplify right side
    456.48x = 188,522.58
  5. Step 5: Solve for x
    x = 188,522.58/456.48
  6. Step 6: Final answer
    x = 412.99

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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.