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Finding the Fourth Proportional to 259.32, 355.50 and 252.42

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Solution

The fourth proportional to 259.32, 355.50 and 252.42 is: 346.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.32 : 355.50 = 252.42 : x
  2. Step 2: Convert to fraction form
    259.32/355.50 = 252.42/x
  3. Step 3: Cross multiply
    259.32x = 355.50 × 252.42
  4. Step 4: Simplify right side
    259.32x = 89,735.31
  5. Step 5: Solve for x
    x = 89,735.31/259.32
  6. Step 6: Final answer
    x = 346.04

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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.