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Finding the Fourth Proportional to 319.17, 440.54 and 188.27

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Solution

The fourth proportional to 319.17, 440.54 and 188.27 is: 259.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.17 : 440.54 = 188.27 : x
  2. Step 2: Convert to fraction form
    319.17/440.54 = 188.27/x
  3. Step 3: Cross multiply
    319.17x = 440.54 × 188.27
  4. Step 4: Simplify right side
    319.17x = 82,938.03
  5. Step 5: Solve for x
    x = 82,938.03/319.17
  6. Step 6: Final answer
    x = 259.86

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