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Finding the Fourth Proportional to 516.81, 775.24 and 151.67

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Solution

The fourth proportional to 516.81, 775.24 and 151.67 is: 227.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.81 : 775.24 = 151.67 : x
  2. Step 2: Convert to fraction form
    516.81/775.24 = 151.67/x
  3. Step 3: Cross multiply
    516.81x = 775.24 × 151.67
  4. Step 4: Simplify right side
    516.81x = 117,582.21
  5. Step 5: Solve for x
    x = 117,582.21/516.81
  6. Step 6: Final answer
    x = 227.51

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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.