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Finding the Fourth Proportional to 280.81, 418.71 and 280.27

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Solution

The fourth proportional to 280.81, 418.71 and 280.27 is: 417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.81 : 418.71 = 280.27 : x
  2. Step 2: Convert to fraction form
    280.81/418.71 = 280.27/x
  3. Step 3: Cross multiply
    280.81x = 418.71 × 280.27
  4. Step 4: Simplify right side
    280.81x = 117,351.85
  5. Step 5: Solve for x
    x = 117,351.85/280.81
  6. Step 6: Final answer
    x = 417.90

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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.