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Finding the Fourth Proportional to 395.98, 546.44 and 218.95

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Solution

The fourth proportional to 395.98, 546.44 and 218.95 is: 302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.98 : 546.44 = 218.95 : x
  2. Step 2: Convert to fraction form
    395.98/546.44 = 218.95/x
  3. Step 3: Cross multiply
    395.98x = 546.44 × 218.95
  4. Step 4: Simplify right side
    395.98x = 119,642.22
  5. Step 5: Solve for x
    x = 119,642.22/395.98
  6. Step 6: Final answer
    x = 302.14

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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.