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Finding the Fourth Proportional to 330.96, 498.21 and 301.20

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Solution

The fourth proportional to 330.96, 498.21 and 301.20 is: 453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.96 : 498.21 = 301.20 : x
  2. Step 2: Convert to fraction form
    330.96/498.21 = 301.20/x
  3. Step 3: Cross multiply
    330.96x = 498.21 × 301.20
  4. Step 4: Simplify right side
    330.96x = 150,060.85
  5. Step 5: Solve for x
    x = 150,060.85/330.96
  6. Step 6: Final answer
    x = 453.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.