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Finding the Fourth Proportional to 367.46, 548.60 and 280.32

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Solution

The fourth proportional to 367.46, 548.60 and 280.32 is: 418.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.46 : 548.60 = 280.32 : x
  2. Step 2: Convert to fraction form
    367.46/548.60 = 280.32/x
  3. Step 3: Cross multiply
    367.46x = 548.60 × 280.32
  4. Step 4: Simplify right side
    367.46x = 153,783.55
  5. Step 5: Solve for x
    x = 153,783.55/367.46
  6. Step 6: Final answer
    x = 418.50

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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.