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Finding the Fourth Proportional to 219.43, 328.53 and 142.20

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Solution

The fourth proportional to 219.43, 328.53 and 142.20 is: 212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.43 : 328.53 = 142.20 : x
  2. Step 2: Convert to fraction form
    219.43/328.53 = 142.20/x
  3. Step 3: Cross multiply
    219.43x = 328.53 × 142.20
  4. Step 4: Simplify right side
    219.43x = 46,716.97
  5. Step 5: Solve for x
    x = 46,716.97/219.43
  6. Step 6: Final answer
    x = 212.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.