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Finding the Fourth Proportional to 337.21, 464.78 and 257.43

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Solution

The fourth proportional to 337.21, 464.78 and 257.43 is: 354.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.21 : 464.78 = 257.43 : x
  2. Step 2: Convert to fraction form
    337.21/464.78 = 257.43/x
  3. Step 3: Cross multiply
    337.21x = 464.78 × 257.43
  4. Step 4: Simplify right side
    337.21x = 119,645.99
  5. Step 5: Solve for x
    x = 119,645.99/337.21
  6. Step 6: Final answer
    x = 354.81

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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.