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Finding the Fourth Proportional to 331.34, 457.18 and 252.64

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Solution

The fourth proportional to 331.34, 457.18 and 252.64 is: 348.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.34 : 457.18 = 252.64 : x
  2. Step 2: Convert to fraction form
    331.34/457.18 = 252.64/x
  3. Step 3: Cross multiply
    331.34x = 457.18 × 252.64
  4. Step 4: Simplify right side
    331.34x = 115,501.96
  5. Step 5: Solve for x
    x = 115,501.96/331.34
  6. Step 6: Final answer
    x = 348.59

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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.