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Finding the Fourth Proportional to 481.40, 664.33 and 260.35

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Solution

The fourth proportional to 481.40, 664.33 and 260.35 is: 359.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.40 : 664.33 = 260.35 : x
  2. Step 2: Convert to fraction form
    481.40/664.33 = 260.35/x
  3. Step 3: Cross multiply
    481.40x = 664.33 × 260.35
  4. Step 4: Simplify right side
    481.40x = 172,956.00
  5. Step 5: Solve for x
    x = 172,956.00/481.40
  6. Step 6: Final answer
    x = 359.28

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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.