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Finding the Fourth Proportional to 319.20, 481.45 and 281.15

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Solution

The fourth proportional to 319.20, 481.45 and 281.15 is: 424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.20 : 481.45 = 281.15 : x
  2. Step 2: Convert to fraction form
    319.20/481.45 = 281.15/x
  3. Step 3: Cross multiply
    319.20x = 481.45 × 281.15
  4. Step 4: Simplify right side
    319.20x = 135,360.17
  5. Step 5: Solve for x
    x = 135,360.17/319.20
  6. Step 6: Final answer
    x = 424.07

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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.