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Finding the Fourth Proportional to 486.21, 670.58 and 299.37

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Solution

The fourth proportional to 486.21, 670.58 and 299.37 is: 412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.21 : 670.58 = 299.37 : x
  2. Step 2: Convert to fraction form
    486.21/670.58 = 299.37/x
  3. Step 3: Cross multiply
    486.21x = 670.58 × 299.37
  4. Step 4: Simplify right side
    486.21x = 200,750.04
  5. Step 5: Solve for x
    x = 200,750.04/486.21
  6. Step 6: Final answer
    x = 412.89

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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.