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Finding the Fourth Proportional to 660.66, 991.56 and 270.87

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Solution

The fourth proportional to 660.66, 991.56 and 270.87 is: 406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.66 : 991.56 = 270.87 : x
  2. Step 2: Convert to fraction form
    660.66/991.56 = 270.87/x
  3. Step 3: Cross multiply
    660.66x = 991.56 × 270.87
  4. Step 4: Simplify right side
    660.66x = 268,583.86
  5. Step 5: Solve for x
    x = 268,583.86/660.66
  6. Step 6: Final answer
    x = 406.54

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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.