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Finding the Fourth Proportional to 319.82, 481.67 and 281.79

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Solution

The fourth proportional to 319.82, 481.67 and 281.79 is: 424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.82 : 481.67 = 281.79 : x
  2. Step 2: Convert to fraction form
    319.82/481.67 = 281.79/x
  3. Step 3: Cross multiply
    319.82x = 481.67 × 281.79
  4. Step 4: Simplify right side
    319.82x = 135,728.38
  5. Step 5: Solve for x
    x = 135,728.38/319.82
  6. Step 6: Final answer
    x = 424.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.