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Finding the Fourth Proportional to 511.56, 767.15 and 164.81

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Solution

The fourth proportional to 511.56, 767.15 and 164.81 is: 247.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.56 : 767.15 = 164.81 : x
  2. Step 2: Convert to fraction form
    511.56/767.15 = 164.81/x
  3. Step 3: Cross multiply
    511.56x = 767.15 × 164.81
  4. Step 4: Simplify right side
    511.56x = 126,429.33
  5. Step 5: Solve for x
    x = 126,429.33/511.56
  6. Step 6: Final answer
    x = 247.14

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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.