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Finding the Fourth Proportional to 393.63, 543.20 and 219

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Solution

The fourth proportional to 393.63, 543.20 and 219 is: 302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.63 : 543.20 = 219 : x
  2. Step 2: Convert to fraction form
    393.63/543.20 = 219/x
  3. Step 3: Cross multiply
    393.63x = 543.20 × 219
  4. Step 4: Simplify right side
    393.63x = 118,960.80
  5. Step 5: Solve for x
    x = 118,960.80/393.63
  6. Step 6: Final answer
    x = 302.21

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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.