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Finding the Fourth Proportional to 518.17, 777.01 and 209.76

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Solution

The fourth proportional to 518.17, 777.01 and 209.76 is: 314.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.17 : 777.01 = 209.76 : x
  2. Step 2: Convert to fraction form
    518.17/777.01 = 209.76/x
  3. Step 3: Cross multiply
    518.17x = 777.01 × 209.76
  4. Step 4: Simplify right side
    518.17x = 162,985.62
  5. Step 5: Solve for x
    x = 162,985.62/518.17
  6. Step 6: Final answer
    x = 314.54

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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.