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Finding the Fourth Proportional to 280.22, 418.27 and 247.38

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Solution

The fourth proportional to 280.22, 418.27 and 247.38 is: 369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.22 : 418.27 = 247.38 : x
  2. Step 2: Convert to fraction form
    280.22/418.27 = 247.38/x
  3. Step 3: Cross multiply
    280.22x = 418.27 × 247.38
  4. Step 4: Simplify right side
    280.22x = 103,471.63
  5. Step 5: Solve for x
    x = 103,471.63/280.22
  6. Step 6: Final answer
    x = 369.25

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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.