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Finding the Fourth Proportional to 511.86, 767.76 and 165.20

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Solution

The fourth proportional to 511.86, 767.76 and 165.20 is: 247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.86 : 767.76 = 165.20 : x
  2. Step 2: Convert to fraction form
    511.86/767.76 = 165.20/x
  3. Step 3: Cross multiply
    511.86x = 767.76 × 165.20
  4. Step 4: Simplify right side
    511.86x = 126,830.11
  5. Step 5: Solve for x
    x = 126,830.11/511.86
  6. Step 6: Final answer
    x = 247.78

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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.