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Finding the Fourth Proportional to 490.16, 734.96 and 165.50

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Solution

The fourth proportional to 490.16, 734.96 and 165.50 is: 248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.16 : 734.96 = 165.50 : x
  2. Step 2: Convert to fraction form
    490.16/734.96 = 165.50/x
  3. Step 3: Cross multiply
    490.16x = 734.96 × 165.50
  4. Step 4: Simplify right side
    490.16x = 121,635.88
  5. Step 5: Solve for x
    x = 121,635.88/490.16
  6. Step 6: Final answer
    x = 248.16

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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.