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Finding the Fourth Proportional to 329.60, 455.20 and 251.20

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Solution

The fourth proportional to 329.60, 455.20 and 251.20 is: 346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.60 : 455.20 = 251.20 : x
  2. Step 2: Convert to fraction form
    329.60/455.20 = 251.20/x
  3. Step 3: Cross multiply
    329.60x = 455.20 × 251.20
  4. Step 4: Simplify right side
    329.60x = 114,346.24
  5. Step 5: Solve for x
    x = 114,346.24/329.60
  6. Step 6: Final answer
    x = 346.92

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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.