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Finding the Fourth Proportional to 330.89, 456.31 and 257.18

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Solution

The fourth proportional to 330.89, 456.31 and 257.18 is: 354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.89 : 456.31 = 257.18 : x
  2. Step 2: Convert to fraction form
    330.89/456.31 = 257.18/x
  3. Step 3: Cross multiply
    330.89x = 456.31 × 257.18
  4. Step 4: Simplify right side
    330.89x = 117,353.81
  5. Step 5: Solve for x
    x = 117,353.81/330.89
  6. Step 6: Final answer
    x = 354.66

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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.