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Finding the Fourth Proportional to 280.82, 419.62 and 214.57

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Solution

The fourth proportional to 280.82, 419.62 and 214.57 is: 320.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.82 : 419.62 = 214.57 : x
  2. Step 2: Convert to fraction form
    280.82/419.62 = 214.57/x
  3. Step 3: Cross multiply
    280.82x = 419.62 × 214.57
  4. Step 4: Simplify right side
    280.82x = 90,034.69
  5. Step 5: Solve for x
    x = 90,034.69/280.82
  6. Step 6: Final answer
    x = 320.61

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Why These Related Problems?

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