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Finding the Fourth Proportional to 319.68, 440.30 and 254.07

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Solution

The fourth proportional to 319.68, 440.30 and 254.07 is: 349.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.68 : 440.30 = 254.07 : x
  2. Step 2: Convert to fraction form
    319.68/440.30 = 254.07/x
  3. Step 3: Cross multiply
    319.68x = 440.30 × 254.07
  4. Step 4: Simplify right side
    319.68x = 111,867.66
  5. Step 5: Solve for x
    x = 111,867.66/319.68
  6. Step 6: Final answer
    x = 349.94

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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.