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Finding the Fourth Proportional to 516.02, 773.54 and 191.30

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Solution

The fourth proportional to 516.02, 773.54 and 191.30 is: 286.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.02 : 773.54 = 191.30 : x
  2. Step 2: Convert to fraction form
    516.02/773.54 = 191.30/x
  3. Step 3: Cross multiply
    516.02x = 773.54 × 191.30
  4. Step 4: Simplify right side
    516.02x = 147,978.20
  5. Step 5: Solve for x
    x = 147,978.20/516.02
  6. Step 6: Final answer
    x = 286.77

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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.