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Finding the Fourth Proportional to 443.01, 664.01 and 260.56

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Solution

The fourth proportional to 443.01, 664.01 and 260.56 is: 390.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.01 : 664.01 = 260.56 : x
  2. Step 2: Convert to fraction form
    443.01/664.01 = 260.56/x
  3. Step 3: Cross multiply
    443.01x = 664.01 × 260.56
  4. Step 4: Simplify right side
    443.01x = 173,014.45
  5. Step 5: Solve for x
    x = 173,014.45/443.01
  6. Step 6: Final answer
    x = 390.54

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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.