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Finding the Fourth Proportional to 518.10, 777.15 and 209.88

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Solution

The fourth proportional to 518.10, 777.15 and 209.88 is: 314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.10 : 777.15 = 209.88 : x
  2. Step 2: Convert to fraction form
    518.10/777.15 = 209.88/x
  3. Step 3: Cross multiply
    518.10x = 777.15 × 209.88
  4. Step 4: Simplify right side
    518.10x = 163,111.02
  5. Step 5: Solve for x
    x = 163,111.02/518.10
  6. Step 6: Final answer
    x = 314.83

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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.