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Finding the Fourth Proportional to 423.88, 585.53 and 331.80

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Solution

The fourth proportional to 423.88, 585.53 and 331.80 is: 458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.88 : 585.53 = 331.80 : x
  2. Step 2: Convert to fraction form
    423.88/585.53 = 331.80/x
  3. Step 3: Cross multiply
    423.88x = 585.53 × 331.80
  4. Step 4: Simplify right side
    423.88x = 194,276.24
  5. Step 5: Solve for x
    x = 194,276.24/423.88
  6. Step 6: Final answer
    x = 458.33

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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.