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Finding the Fourth Proportional to 319.18, 481.42 and 281.14

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Solution

The fourth proportional to 319.18, 481.42 and 281.14 is: 424.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.18 : 481.42 = 281.14 : x
  2. Step 2: Convert to fraction form
    319.18/481.42 = 281.14/x
  3. Step 3: Cross multiply
    319.18x = 481.42 × 281.14
  4. Step 4: Simplify right side
    319.18x = 135,345.57
  5. Step 5: Solve for x
    x = 135,345.57/319.18
  6. Step 6: Final answer
    x = 424.04

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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.