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Finding the Fourth Proportional to 490.84, 736.14 and 230.68

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Solution

The fourth proportional to 490.84, 736.14 and 230.68 is: 345.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.84 : 736.14 = 230.68 : x
  2. Step 2: Convert to fraction form
    490.84/736.14 = 230.68/x
  3. Step 3: Cross multiply
    490.84x = 736.14 × 230.68
  4. Step 4: Simplify right side
    490.84x = 169,812.78
  5. Step 5: Solve for x
    x = 169,812.78/490.84
  6. Step 6: Final answer
    x = 345.96

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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.