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Finding the Fourth Proportional to 319.82, 440.96 and 188.78

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Solution

The fourth proportional to 319.82, 440.96 and 188.78 is: 260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.82 : 440.96 = 188.78 : x
  2. Step 2: Convert to fraction form
    319.82/440.96 = 188.78/x
  3. Step 3: Cross multiply
    319.82x = 440.96 × 188.78
  4. Step 4: Simplify right side
    319.82x = 83,241.28
  5. Step 5: Solve for x
    x = 83,241.28/319.82
  6. Step 6: Final answer
    x = 260.28

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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.