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Finding the Fourth Proportional to 511.56, 766.40 and 280.12

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Solution

The fourth proportional to 511.56, 766.40 and 280.12 is: 419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.56 : 766.40 = 280.12 : x
  2. Step 2: Convert to fraction form
    511.56/766.40 = 280.12/x
  3. Step 3: Cross multiply
    511.56x = 766.40 × 280.12
  4. Step 4: Simplify right side
    511.56x = 214,683.97
  5. Step 5: Solve for x
    x = 214,683.97/511.56
  6. Step 6: Final answer
    x = 419.67

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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.