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Finding the Fourth Proportional to 516.98, 775.31 and 151.67

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Solution

The fourth proportional to 516.98, 775.31 and 151.67 is: 227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.98 : 775.31 = 151.67 : x
  2. Step 2: Convert to fraction form
    516.98/775.31 = 151.67/x
  3. Step 3: Cross multiply
    516.98x = 775.31 × 151.67
  4. Step 4: Simplify right side
    516.98x = 117,586.63
  5. Step 5: Solve for x
    x = 117,586.63/516.98
  6. Step 6: Final answer
    x = 227.45

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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.