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Finding the Fourth Proportional to 319.89, 481.85 and 291.19

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Solution

The fourth proportional to 319.89, 481.85 and 291.19 is: 438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.89 : 481.85 = 291.19 : x
  2. Step 2: Convert to fraction form
    319.89/481.85 = 291.19/x
  3. Step 3: Cross multiply
    319.89x = 481.85 × 291.19
  4. Step 4: Simplify right side
    319.89x = 140,309.90
  5. Step 5: Solve for x
    x = 140,309.90/319.89
  6. Step 6: Final answer
    x = 438.62

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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.