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Finding the Fourth Proportional to 319.25, 481.74 and 307.80

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Solution

The fourth proportional to 319.25, 481.74 and 307.80 is: 464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.25 : 481.74 = 307.80 : x
  2. Step 2: Convert to fraction form
    319.25/481.74 = 307.80/x
  3. Step 3: Cross multiply
    319.25x = 481.74 × 307.80
  4. Step 4: Simplify right side
    319.25x = 148,279.57
  5. Step 5: Solve for x
    x = 148,279.57/319.25
  6. Step 6: Final answer
    x = 464.47

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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.