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Finding the Fourth Proportional to 660.15, 990.63 and 270.27

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Solution

The fourth proportional to 660.15, 990.63 and 270.27 is: 405.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.15 : 990.63 = 270.27 : x
  2. Step 2: Convert to fraction form
    660.15/990.63 = 270.27/x
  3. Step 3: Cross multiply
    660.15x = 990.63 × 270.27
  4. Step 4: Simplify right side
    660.15x = 267,737.57
  5. Step 5: Solve for x
    x = 267,737.57/660.15
  6. Step 6: Final answer
    x = 405.57

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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.