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Finding the Fourth Proportional to 394.13, 543.91 and 219.49

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Solution

The fourth proportional to 394.13, 543.91 and 219.49 is: 302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.13 : 543.91 = 219.49 : x
  2. Step 2: Convert to fraction form
    394.13/543.91 = 219.49/x
  3. Step 3: Cross multiply
    394.13x = 543.91 × 219.49
  4. Step 4: Simplify right side
    394.13x = 119,381.72
  5. Step 5: Solve for x
    x = 119,381.72/394.13
  6. Step 6: Final answer
    x = 302.90

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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.