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Finding the Fourth Proportional to 465.19, 641.90 and 255.35

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Solution

The fourth proportional to 465.19, 641.90 and 255.35 is: 352.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.19 : 641.90 = 255.35 : x
  2. Step 2: Convert to fraction form
    465.19/641.90 = 255.35/x
  3. Step 3: Cross multiply
    465.19x = 641.90 × 255.35
  4. Step 4: Simplify right side
    465.19x = 163,911.41
  5. Step 5: Solve for x
    x = 163,911.41/465.19
  6. Step 6: Final answer
    x = 352.36

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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.