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Finding the Fourth Proportional to 319.25, 440.14 and 225.89

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Solution

The fourth proportional to 319.25, 440.14 and 225.89 is: 311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.25 : 440.14 = 225.89 : x
  2. Step 2: Convert to fraction form
    319.25/440.14 = 225.89/x
  3. Step 3: Cross multiply
    319.25x = 440.14 × 225.89
  4. Step 4: Simplify right side
    319.25x = 99,422.10
  5. Step 5: Solve for x
    x = 99,422.10/319.25
  6. Step 6: Final answer
    x = 311.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.