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Finding the Fourth Proportional to 490.06, 734.64 and 165.28

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Solution

The fourth proportional to 490.06, 734.64 and 165.28 is: 247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.06 : 734.64 = 165.28 : x
  2. Step 2: Convert to fraction form
    490.06/734.64 = 165.28/x
  3. Step 3: Cross multiply
    490.06x = 734.64 × 165.28
  4. Step 4: Simplify right side
    490.06x = 121,421.30
  5. Step 5: Solve for x
    x = 121,421.30/490.06
  6. Step 6: Final answer
    x = 247.77

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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.