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Finding the Fourth Proportional to 490.16, 733.92 and 246.08

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Solution

The fourth proportional to 490.16, 733.92 and 246.08 is: 368.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.16 : 733.92 = 246.08 : x
  2. Step 2: Convert to fraction form
    490.16/733.92 = 246.08/x
  3. Step 3: Cross multiply
    490.16x = 733.92 × 246.08
  4. Step 4: Simplify right side
    490.16x = 180,603.03
  5. Step 5: Solve for x
    x = 180,603.03/490.16
  6. Step 6: Final answer
    x = 368.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.