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Finding the Fourth Proportional to 419.54, 578.44 and 340.56

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Solution

The fourth proportional to 419.54, 578.44 and 340.56 is: 469.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.54 : 578.44 = 340.56 : x
  2. Step 2: Convert to fraction form
    419.54/578.44 = 340.56/x
  3. Step 3: Cross multiply
    419.54x = 578.44 × 340.56
  4. Step 4: Simplify right side
    419.54x = 196,992.68
  5. Step 5: Solve for x
    x = 196,992.68/419.54
  6. Step 6: Final answer
    x = 469.55

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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.