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Finding the Fourth Proportional to 259.28, 355.84 and 252.08

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Solution

The fourth proportional to 259.28, 355.84 and 252.08 is: 345.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.28 : 355.84 = 252.08 : x
  2. Step 2: Convert to fraction form
    259.28/355.84 = 252.08/x
  3. Step 3: Cross multiply
    259.28x = 355.84 × 252.08
  4. Step 4: Simplify right side
    259.28x = 89,700.15
  5. Step 5: Solve for x
    x = 89,700.15/259.28
  6. Step 6: Final answer
    x = 345.96

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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.