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Finding the Fourth Proportional to 419.60, 578.45 and 326.18

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Solution

The fourth proportional to 419.60, 578.45 and 326.18 is: 449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.60 : 578.45 = 326.18 : x
  2. Step 2: Convert to fraction form
    419.60/578.45 = 326.18/x
  3. Step 3: Cross multiply
    419.60x = 578.45 × 326.18
  4. Step 4: Simplify right side
    419.60x = 188,678.82
  5. Step 5: Solve for x
    x = 188,678.82/419.60
  6. Step 6: Final answer
    x = 449.66

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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.