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Finding the Fourth Proportional to 518.00, 776.52 and 193.13

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Solution

The fourth proportional to 518.00, 776.52 and 193.13 is: 289.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.00 : 776.52 = 193.13 : x
  2. Step 2: Convert to fraction form
    518.00/776.52 = 193.13/x
  3. Step 3: Cross multiply
    518.00x = 776.52 × 193.13
  4. Step 4: Simplify right side
    518.00x = 149,965.43
  5. Step 5: Solve for x
    x = 149,965.43/518.00
  6. Step 6: Final answer
    x = 289.51

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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.