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Finding the Fourth Proportional to 393.68, 543.24 and 219.02

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Solution

The fourth proportional to 393.68, 543.24 and 219.02 is: 302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.68 : 543.24 = 219.02 : x
  2. Step 2: Convert to fraction form
    393.68/543.24 = 219.02/x
  3. Step 3: Cross multiply
    393.68x = 543.24 × 219.02
  4. Step 4: Simplify right side
    393.68x = 118,977.71
  5. Step 5: Solve for x
    x = 118,977.71/393.68
  6. Step 6: Final answer
    x = 302.22

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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.