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Finding the Fourth Proportional to 421.48, 579.72 and 338.41

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Solution

The fourth proportional to 421.48, 579.72 and 338.41 is: 465.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.48 : 579.72 = 338.41 : x
  2. Step 2: Convert to fraction form
    421.48/579.72 = 338.41/x
  3. Step 3: Cross multiply
    421.48x = 579.72 × 338.41
  4. Step 4: Simplify right side
    421.48x = 196,180.33
  5. Step 5: Solve for x
    x = 196,180.33/421.48
  6. Step 6: Final answer
    x = 465.45

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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.