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Finding the Fourth Proportional to 518.16, 776.67 and 209.92

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Solution

The fourth proportional to 518.16, 776.67 and 209.92 is: 314.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.16 : 776.67 = 209.92 : x
  2. Step 2: Convert to fraction form
    518.16/776.67 = 209.92/x
  3. Step 3: Cross multiply
    518.16x = 776.67 × 209.92
  4. Step 4: Simplify right side
    518.16x = 163,038.57
  5. Step 5: Solve for x
    x = 163,038.57/518.16
  6. Step 6: Final answer
    x = 314.65

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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.