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Finding the Fourth Proportional to 516.21, 774.32 and 151.04

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Solution

The fourth proportional to 516.21, 774.32 and 151.04 is: 226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.21 : 774.32 = 151.04 : x
  2. Step 2: Convert to fraction form
    516.21/774.32 = 151.04/x
  3. Step 3: Cross multiply
    516.21x = 774.32 × 151.04
  4. Step 4: Simplify right side
    516.21x = 116,953.29
  5. Step 5: Solve for x
    x = 116,953.29/516.21
  6. Step 6: Final answer
    x = 226.56

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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.