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Finding the Fourth Proportional to 395.99, 546.43 and 218.92

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Solution

The fourth proportional to 395.99, 546.43 and 218.92 is: 302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.99 : 546.43 = 218.92 : x
  2. Step 2: Convert to fraction form
    395.99/546.43 = 218.92/x
  3. Step 3: Cross multiply
    395.99x = 546.43 × 218.92
  4. Step 4: Simplify right side
    395.99x = 119,621.72
  5. Step 5: Solve for x
    x = 119,621.72/395.99
  6. Step 6: Final answer
    x = 302.09

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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.