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Finding the Fourth Proportional to 319.28, 440.55 and 188.25

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Solution

The fourth proportional to 319.28, 440.55 and 188.25 is: 259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.28 : 440.55 = 188.25 : x
  2. Step 2: Convert to fraction form
    319.28/440.55 = 188.25/x
  3. Step 3: Cross multiply
    319.28x = 440.55 × 188.25
  4. Step 4: Simplify right side
    319.28x = 82,933.54
  5. Step 5: Solve for x
    x = 82,933.54/319.28
  6. Step 6: Final answer
    x = 259.76

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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.