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Finding the Fourth Proportional to 494.19, 740.42 and 329.58

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Solution

The fourth proportional to 494.19, 740.42 and 329.58 is: 493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.19 : 740.42 = 329.58 : x
  2. Step 2: Convert to fraction form
    494.19/740.42 = 329.58/x
  3. Step 3: Cross multiply
    494.19x = 740.42 × 329.58
  4. Step 4: Simplify right side
    494.19x = 244,022.27
  5. Step 5: Solve for x
    x = 244,022.27/494.19
  6. Step 6: Final answer
    x = 493.78

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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.