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Finding the Fourth Proportional to 518.50, 777.75 and 214.50

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Solution

The fourth proportional to 518.50, 777.75 and 214.50 is: 321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.50 : 777.75 = 214.50 : x
  2. Step 2: Convert to fraction form
    518.50/777.75 = 214.50/x
  3. Step 3: Cross multiply
    518.50x = 777.75 × 214.50
  4. Step 4: Simplify right side
    518.50x = 166,827.38
  5. Step 5: Solve for x
    x = 166,827.38/518.50
  6. Step 6: Final answer
    x = 321.75

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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.