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Finding the Fourth Proportional to 394.18, 543.96 and 219.51

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Solution

The fourth proportional to 394.18, 543.96 and 219.51 is: 302.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.18 : 543.96 = 219.51 : x
  2. Step 2: Convert to fraction form
    394.18/543.96 = 219.51/x
  3. Step 3: Cross multiply
    394.18x = 543.96 × 219.51
  4. Step 4: Simplify right side
    394.18x = 119,404.66
  5. Step 5: Solve for x
    x = 119,404.66/394.18
  6. Step 6: Final answer
    x = 302.92

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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.