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Finding the Fourth Proportional to 465.39, 642.26 and 255.58

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Solution

The fourth proportional to 465.39, 642.26 and 255.58 is: 352.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.39 : 642.26 = 255.58 : x
  2. Step 2: Convert to fraction form
    465.39/642.26 = 255.58/x
  3. Step 3: Cross multiply
    465.39x = 642.26 × 255.58
  4. Step 4: Simplify right side
    465.39x = 164,148.81
  5. Step 5: Solve for x
    x = 164,148.81/465.39
  6. Step 6: Final answer
    x = 352.71

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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.