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Finding the Fourth Proportional to 511.66, 767.07 and 164.90

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Solution

The fourth proportional to 511.66, 767.07 and 164.90 is: 247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.66 : 767.07 = 164.90 : x
  2. Step 2: Convert to fraction form
    511.66/767.07 = 164.90/x
  3. Step 3: Cross multiply
    511.66x = 767.07 × 164.90
  4. Step 4: Simplify right side
    511.66x = 126,487.45
  5. Step 5: Solve for x
    x = 126,487.45/511.66
  6. Step 6: Final answer
    x = 247.21

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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.