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Finding the Fourth Proportional to 518.28, 776.80 and 210.12

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Solution

The fourth proportional to 518.28, 776.80 and 210.12 is: 314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.28 : 776.80 = 210.12 : x
  2. Step 2: Convert to fraction form
    518.28/776.80 = 210.12/x
  3. Step 3: Cross multiply
    518.28x = 776.80 × 210.12
  4. Step 4: Simplify right side
    518.28x = 163,221.22
  5. Step 5: Solve for x
    x = 163,221.22/518.28
  6. Step 6: Final answer
    x = 314.93

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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.