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Finding the Fourth Proportional to 490.68, 734.13 and 359.82

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Solution

The fourth proportional to 490.68, 734.13 and 359.82 is: 538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.68 : 734.13 = 359.82 : x
  2. Step 2: Convert to fraction form
    490.68/734.13 = 359.82/x
  3. Step 3: Cross multiply
    490.68x = 734.13 × 359.82
  4. Step 4: Simplify right side
    490.68x = 264,154.66
  5. Step 5: Solve for x
    x = 264,154.66/490.68
  6. Step 6: Final answer
    x = 538.34

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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.