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Finding the Fourth Proportional to 319.75, 480.06 and 314.28

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Solution

The fourth proportional to 319.75, 480.06 and 314.28 is: 471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.75 : 480.06 = 314.28 : x
  2. Step 2: Convert to fraction form
    319.75/480.06 = 314.28/x
  3. Step 3: Cross multiply
    319.75x = 480.06 × 314.28
  4. Step 4: Simplify right side
    319.75x = 150,873.26
  5. Step 5: Solve for x
    x = 150,873.26/319.75
  6. Step 6: Final answer
    x = 471.85

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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.