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Finding the Fourth Proportional to 516.74, 775.51 and 228.38

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Solution

The fourth proportional to 516.74, 775.51 and 228.38 is: 342.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.74 : 775.51 = 228.38 : x
  2. Step 2: Convert to fraction form
    516.74/775.51 = 228.38/x
  3. Step 3: Cross multiply
    516.74x = 775.51 × 228.38
  4. Step 4: Simplify right side
    516.74x = 177,106.53
  5. Step 5: Solve for x
    x = 177,106.53/516.74
  6. Step 6: Final answer
    x = 342.74

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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.