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Finding the Fourth Proportional to 440.45, 660.59 and 180.39

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Solution

The fourth proportional to 440.45, 660.59 and 180.39 is: 270.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.45 : 660.59 = 180.39 : x
  2. Step 2: Convert to fraction form
    440.45/660.59 = 180.39/x
  3. Step 3: Cross multiply
    440.45x = 660.59 × 180.39
  4. Step 4: Simplify right side
    440.45x = 119,162.93
  5. Step 5: Solve for x
    x = 119,162.93/440.45
  6. Step 6: Final answer
    x = 270.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.