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Finding the Fourth Proportional to 329.28, 491.76 and 286.08

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Solution

The fourth proportional to 329.28, 491.76 and 286.08 is: 427.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.28 : 491.76 = 286.08 : x
  2. Step 2: Convert to fraction form
    329.28/491.76 = 286.08/x
  3. Step 3: Cross multiply
    329.28x = 491.76 × 286.08
  4. Step 4: Simplify right side
    329.28x = 140,682.70
  5. Step 5: Solve for x
    x = 140,682.70/329.28
  6. Step 6: Final answer
    x = 427.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.