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Finding the Fourth Proportional to 345.80, 518.78 and 163.28

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Solution

The fourth proportional to 345.80, 518.78 and 163.28 is: 244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.80 : 518.78 = 163.28 : x
  2. Step 2: Convert to fraction form
    345.80/518.78 = 163.28/x
  3. Step 3: Cross multiply
    345.80x = 518.78 × 163.28
  4. Step 4: Simplify right side
    345.80x = 84,708.10
  5. Step 5: Solve for x
    x = 84,708.10/345.80
  6. Step 6: Final answer
    x = 244.96

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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.