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Finding the Fourth Proportional to 465.23, 641.99 and 255.40

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Solution

The fourth proportional to 465.23, 641.99 and 255.40 is: 352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.23 : 641.99 = 255.40 : x
  2. Step 2: Convert to fraction form
    465.23/641.99 = 255.40/x
  3. Step 3: Cross multiply
    465.23x = 641.99 × 255.40
  4. Step 4: Simplify right side
    465.23x = 163,963.28
  5. Step 5: Solve for x
    x = 163,963.28/465.23
  6. Step 6: Final answer
    x = 352.43

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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.