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Finding the Fourth Proportional to 516.29, 774.42 and 242.35

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Solution

The fourth proportional to 516.29, 774.42 and 242.35 is: 363.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.29 : 774.42 = 242.35 : x
  2. Step 2: Convert to fraction form
    516.29/774.42 = 242.35/x
  3. Step 3: Cross multiply
    516.29x = 774.42 × 242.35
  4. Step 4: Simplify right side
    516.29x = 187,676.81
  5. Step 5: Solve for x
    x = 187,676.81/516.29
  6. Step 6: Final answer
    x = 363.51

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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.