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Finding the Fourth Proportional to 490.02, 734.85 and 143.27

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Solution

The fourth proportional to 490.02, 734.85 and 143.27 is: 214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.02 : 734.85 = 143.27 : x
  2. Step 2: Convert to fraction form
    490.02/734.85 = 143.27/x
  3. Step 3: Cross multiply
    490.02x = 734.85 × 143.27
  4. Step 4: Simplify right side
    490.02x = 105,278.29
  5. Step 5: Solve for x
    x = 105,278.29/490.02
  6. Step 6: Final answer
    x = 214.84

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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.