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Finding the Fourth Proportional to 650.56, 975.20 and 266.08

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Solution

The fourth proportional to 650.56, 975.20 and 266.08 is: 398.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.56 : 975.20 = 266.08 : x
  2. Step 2: Convert to fraction form
    650.56/975.20 = 266.08/x
  3. Step 3: Cross multiply
    650.56x = 975.20 × 266.08
  4. Step 4: Simplify right side
    650.56x = 259,481.22
  5. Step 5: Solve for x
    x = 259,481.22/650.56
  6. Step 6: Final answer
    x = 398.86

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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.