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Finding the Fourth Proportional to 259.64, 355.96 and 255.05

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Solution

The fourth proportional to 259.64, 355.96 and 255.05 is: 349.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.64 : 355.96 = 255.05 : x
  2. Step 2: Convert to fraction form
    259.64/355.96 = 255.05/x
  3. Step 3: Cross multiply
    259.64x = 355.96 × 255.05
  4. Step 4: Simplify right side
    259.64x = 90,787.47
  5. Step 5: Solve for x
    x = 90,787.47/259.64
  6. Step 6: Final answer
    x = 349.67

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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.