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Finding the Fourth Proportional to 423.90, 581.24 and 382.29

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Solution

The fourth proportional to 423.90, 581.24 and 382.29 is: 524.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.90 : 581.24 = 382.29 : x
  2. Step 2: Convert to fraction form
    423.90/581.24 = 382.29/x
  3. Step 3: Cross multiply
    423.90x = 581.24 × 382.29
  4. Step 4: Simplify right side
    423.90x = 222,200.33
  5. Step 5: Solve for x
    x = 222,200.33/423.90
  6. Step 6: Final answer
    x = 524.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.