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Finding the Fourth Proportional to 516.94, 775.42 and 242.88

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Solution

The fourth proportional to 516.94, 775.42 and 242.88 is: 364.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.94 : 775.42 = 242.88 : x
  2. Step 2: Convert to fraction form
    516.94/775.42 = 242.88/x
  3. Step 3: Cross multiply
    516.94x = 775.42 × 242.88
  4. Step 4: Simplify right side
    516.94x = 188,334.01
  5. Step 5: Solve for x
    x = 188,334.01/516.94
  6. Step 6: Final answer
    x = 364.32

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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.