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Finding the Fourth Proportional to 357.35, 494.49 and 304.81

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Solution

The fourth proportional to 357.35, 494.49 and 304.81 is: 421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.35 : 494.49 = 304.81 : x
  2. Step 2: Convert to fraction form
    357.35/494.49 = 304.81/x
  3. Step 3: Cross multiply
    357.35x = 494.49 × 304.81
  4. Step 4: Simplify right side
    357.35x = 150,724.26
  5. Step 5: Solve for x
    x = 150,724.26/357.35
  6. Step 6: Final answer
    x = 421.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.