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Finding the Fourth Proportional to 516.58, 774.90 and 192.18

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Solution

The fourth proportional to 516.58, 774.90 and 192.18 is: 288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.58 : 774.90 = 192.18 : x
  2. Step 2: Convert to fraction form
    516.58/774.90 = 192.18/x
  3. Step 3: Cross multiply
    516.58x = 774.90 × 192.18
  4. Step 4: Simplify right side
    516.58x = 148,920.28
  5. Step 5: Solve for x
    x = 148,920.28/516.58
  6. Step 6: Final answer
    x = 288.28

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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.