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Finding the Fourth Proportional to 516.81, 775.28 and 151.62

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Solution

The fourth proportional to 516.81, 775.28 and 151.62 is: 227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.81 : 775.28 = 151.62 : x
  2. Step 2: Convert to fraction form
    516.81/775.28 = 151.62/x
  3. Step 3: Cross multiply
    516.81x = 775.28 × 151.62
  4. Step 4: Simplify right side
    516.81x = 117,547.95
  5. Step 5: Solve for x
    x = 117,547.95/516.81
  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.