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Finding the Fourth Proportional to 330.41, 455.90 and 257.28

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Solution

The fourth proportional to 330.41, 455.90 and 257.28 is: 354.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.41 : 455.90 = 257.28 : x
  2. Step 2: Convert to fraction form
    330.41/455.90 = 257.28/x
  3. Step 3: Cross multiply
    330.41x = 455.90 × 257.28
  4. Step 4: Simplify right side
    330.41x = 117,290.96
  5. Step 5: Solve for x
    x = 117,290.96/330.41
  6. Step 6: Final answer
    x = 354.98

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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.