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Finding the Fourth Proportional to 330.75, 456.71 and 257.45

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Solution

The fourth proportional to 330.75, 456.71 and 257.45 is: 355.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.75 : 456.71 = 257.45 : x
  2. Step 2: Convert to fraction form
    330.75/456.71 = 257.45/x
  3. Step 3: Cross multiply
    330.75x = 456.71 × 257.45
  4. Step 4: Simplify right side
    330.75x = 117,576.42
  5. Step 5: Solve for x
    x = 117,576.42/330.75
  6. Step 6: Final answer
    x = 355.48

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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.