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Finding the Fourth Proportional to 259.62, 357.90 and 220.11

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Solution

The fourth proportional to 259.62, 357.90 and 220.11 is: 303.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.62 : 357.90 = 220.11 : x
  2. Step 2: Convert to fraction form
    259.62/357.90 = 220.11/x
  3. Step 3: Cross multiply
    259.62x = 357.90 × 220.11
  4. Step 4: Simplify right side
    259.62x = 78,777.37
  5. Step 5: Solve for x
    x = 78,777.37/259.62
  6. Step 6: Final answer
    x = 303.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.