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Finding the Fourth Proportional to 310.03, 461.99 and 300.25

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Solution

The fourth proportional to 310.03, 461.99 and 300.25 is: 447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.03 : 461.99 = 300.25 : x
  2. Step 2: Convert to fraction form
    310.03/461.99 = 300.25/x
  3. Step 3: Cross multiply
    310.03x = 461.99 × 300.25
  4. Step 4: Simplify right side
    310.03x = 138,712.50
  5. Step 5: Solve for x
    x = 138,712.50/310.03
  6. Step 6: Final answer
    x = 447.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.