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Finding the Fourth Proportional to 280.94, 419.22 and 278.19

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Solution

The fourth proportional to 280.94, 419.22 and 278.19 is: 415.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.94 : 419.22 = 278.19 : x
  2. Step 2: Convert to fraction form
    280.94/419.22 = 278.19/x
  3. Step 3: Cross multiply
    280.94x = 419.22 × 278.19
  4. Step 4: Simplify right side
    280.94x = 116,622.81
  5. Step 5: Solve for x
    x = 116,622.81/280.94
  6. Step 6: Final answer
    x = 415.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.