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Finding the Fourth Proportional to 280.14, 419.76 and 219.12

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Solution

The fourth proportional to 280.14, 419.76 and 219.12 is: 328.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.14 : 419.76 = 219.12 : x
  2. Step 2: Convert to fraction form
    280.14/419.76 = 219.12/x
  3. Step 3: Cross multiply
    280.14x = 419.76 × 219.12
  4. Step 4: Simplify right side
    280.14x = 91,977.81
  5. Step 5: Solve for x
    x = 91,977.81/280.14
  6. Step 6: Final answer
    x = 328.33

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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.