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Finding the Fourth Proportional to 445.48, 668.03 and 214.31

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Solution

The fourth proportional to 445.48, 668.03 and 214.31 is: 321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.48 : 668.03 = 214.31 : x
  2. Step 2: Convert to fraction form
    445.48/668.03 = 214.31/x
  3. Step 3: Cross multiply
    445.48x = 668.03 × 214.31
  4. Step 4: Simplify right side
    445.48x = 143,165.51
  5. Step 5: Solve for x
    x = 143,165.51/445.48
  6. Step 6: Final answer
    x = 321.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.