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Finding the Fourth Proportional to 328.31, 491.92 and 191.47

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Solution

The fourth proportional to 328.31, 491.92 and 191.47 is: 286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.31 : 491.92 = 191.47 : x
  2. Step 2: Convert to fraction form
    328.31/491.92 = 191.47/x
  3. Step 3: Cross multiply
    328.31x = 491.92 × 191.47
  4. Step 4: Simplify right side
    328.31x = 94,185.46
  5. Step 5: Solve for x
    x = 94,185.46/328.31
  6. Step 6: Final answer
    x = 286.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.