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Finding the Fourth Proportional to 331.74, 457.20 and 257.76

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Solution

The fourth proportional to 331.74, 457.20 and 257.76 is: 355.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.74 : 457.20 = 257.76 : x
  2. Step 2: Convert to fraction form
    331.74/457.20 = 257.76/x
  3. Step 3: Cross multiply
    331.74x = 457.20 × 257.76
  4. Step 4: Simplify right side
    331.74x = 117,847.87
  5. Step 5: Solve for x
    x = 117,847.87/331.74
  6. Step 6: Final answer
    x = 355.24

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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.