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Finding the Fourth Proportional to 419.82, 579.31 and 262.68

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Solution

The fourth proportional to 419.82, 579.31 and 262.68 is: 362.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.82 : 579.31 = 262.68 : x
  2. Step 2: Convert to fraction form
    419.82/579.31 = 262.68/x
  3. Step 3: Cross multiply
    419.82x = 579.31 × 262.68
  4. Step 4: Simplify right side
    419.82x = 152,173.15
  5. Step 5: Solve for x
    x = 152,173.15/419.82
  6. Step 6: Final answer
    x = 362.47

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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.