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Finding the Fourth Proportional to 329.71, 494.47 and 190.93

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Solution

The fourth proportional to 329.71, 494.47 and 190.93 is: 286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.71 : 494.47 = 190.93 : x
  2. Step 2: Convert to fraction form
    329.71/494.47 = 190.93/x
  3. Step 3: Cross multiply
    329.71x = 494.47 × 190.93
  4. Step 4: Simplify right side
    329.71x = 94,409.16
  5. Step 5: Solve for x
    x = 94,409.16/329.71
  6. Step 6: Final answer
    x = 286.34

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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.