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Finding the Fourth Proportional to 465.05, 641.75 and 255.19

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Solution

The fourth proportional to 465.05, 641.75 and 255.19 is: 352.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.05 : 641.75 = 255.19 : x
  2. Step 2: Convert to fraction form
    465.05/641.75 = 255.19/x
  3. Step 3: Cross multiply
    465.05x = 641.75 × 255.19
  4. Step 4: Simplify right side
    465.05x = 163,765.30
  5. Step 5: Solve for x
    x = 163,765.30/465.05
  6. Step 6: Final answer
    x = 352.14

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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.