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Finding the Fourth Proportional to 486.54, 671.63 and 299.97

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Solution

The fourth proportional to 486.54, 671.63 and 299.97 is: 414.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.54 : 671.63 = 299.97 : x
  2. Step 2: Convert to fraction form
    486.54/671.63 = 299.97/x
  3. Step 3: Cross multiply
    486.54x = 671.63 × 299.97
  4. Step 4: Simplify right side
    486.54x = 201,467.35
  5. Step 5: Solve for x
    x = 201,467.35/486.54
  6. Step 6: Final answer
    x = 414.08

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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.