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Finding the Fourth Proportional to 329.66, 494.30 and 281.06

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Solution

The fourth proportional to 329.66, 494.30 and 281.06 is: 421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.66 : 494.30 = 281.06 : x
  2. Step 2: Convert to fraction form
    329.66/494.30 = 281.06/x
  3. Step 3: Cross multiply
    329.66x = 494.30 × 281.06
  4. Step 4: Simplify right side
    329.66x = 138,927.96
  5. Step 5: Solve for x
    x = 138,927.96/329.66
  6. Step 6: Final answer
    x = 421.43

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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.