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Finding the Fourth Proportional to 518.12, 777 and 171.36

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Solution

The fourth proportional to 518.12, 777 and 171.36 is: 256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.12 : 777 = 171.36 : x
  2. Step 2: Convert to fraction form
    518.12/777 = 171.36/x
  3. Step 3: Cross multiply
    518.12x = 777 × 171.36
  4. Step 4: Simplify right side
    518.12x = 133,146.72
  5. Step 5: Solve for x
    x = 133,146.72/518.12
  6. Step 6: Final answer
    x = 256.98

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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.