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Finding the Fourth Proportional to 357.48, 494.66 and 304.94

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Solution

The fourth proportional to 357.48, 494.66 and 304.94 is: 421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.48 : 494.66 = 304.94 : x
  2. Step 2: Convert to fraction form
    357.48/494.66 = 304.94/x
  3. Step 3: Cross multiply
    357.48x = 494.66 × 304.94
  4. Step 4: Simplify right side
    357.48x = 150,839.15
  5. Step 5: Solve for x
    x = 150,839.15/357.48
  6. Step 6: Final answer
    x = 421.96

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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.