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Finding the Fourth Proportional to 319.24, 440.56 and 186.50

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Solution

The fourth proportional to 319.24, 440.56 and 186.50 is: 257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.24 : 440.56 = 186.50 : x
  2. Step 2: Convert to fraction form
    319.24/440.56 = 186.50/x
  3. Step 3: Cross multiply
    319.24x = 440.56 × 186.50
  4. Step 4: Simplify right side
    319.24x = 82,164.44
  5. Step 5: Solve for x
    x = 82,164.44/319.24
  6. Step 6: Final answer
    x = 257.38

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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.