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Finding the Fourth Proportional to 329.20, 455.16 and 288.20

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Solution

The fourth proportional to 329.20, 455.16 and 288.20 is: 398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.20 : 455.16 = 288.20 : x
  2. Step 2: Convert to fraction form
    329.20/455.16 = 288.20/x
  3. Step 3: Cross multiply
    329.20x = 455.16 × 288.20
  4. Step 4: Simplify right side
    329.20x = 131,177.11
  5. Step 5: Solve for x
    x = 131,177.11/329.20
  6. Step 6: Final answer
    x = 398.47

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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.