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Finding the Fourth Proportional to 419.24, 577.98 and 331.80

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Solution

The fourth proportional to 419.24, 577.98 and 331.80 is: 457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.24 : 577.98 = 331.80 : x
  2. Step 2: Convert to fraction form
    419.24/577.98 = 331.80/x
  3. Step 3: Cross multiply
    419.24x = 577.98 × 331.80
  4. Step 4: Simplify right side
    419.24x = 191,773.76
  5. Step 5: Solve for x
    x = 191,773.76/419.24
  6. Step 6: Final answer
    x = 457.43

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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.