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Finding the Fourth Proportional to 259.05, 355.29 and 245.86

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Solution

The fourth proportional to 259.05, 355.29 and 245.86 is: 337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.05 : 355.29 = 245.86 : x
  2. Step 2: Convert to fraction form
    259.05/355.29 = 245.86/x
  3. Step 3: Cross multiply
    259.05x = 355.29 × 245.86
  4. Step 4: Simplify right side
    259.05x = 87,350.44
  5. Step 5: Solve for x
    x = 87,350.44/259.05
  6. Step 6: Final answer
    x = 337.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.