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Finding the Fourth Proportional to 490.33, 734.26 and 307.17

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Solution

The fourth proportional to 490.33, 734.26 and 307.17 is: 459.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.33 : 734.26 = 307.17 : x
  2. Step 2: Convert to fraction form
    490.33/734.26 = 307.17/x
  3. Step 3: Cross multiply
    490.33x = 734.26 × 307.17
  4. Step 4: Simplify right side
    490.33x = 225,542.64
  5. Step 5: Solve for x
    x = 225,542.64/490.33
  6. Step 6: Final answer
    x = 459.98

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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.