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Finding the Fourth Proportional to 330.66, 458.40 and 323.98

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Solution

The fourth proportional to 330.66, 458.40 and 323.98 is: 449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.66 : 458.40 = 323.98 : x
  2. Step 2: Convert to fraction form
    330.66/458.40 = 323.98/x
  3. Step 3: Cross multiply
    330.66x = 458.40 × 323.98
  4. Step 4: Simplify right side
    330.66x = 148,512.43
  5. Step 5: Solve for x
    x = 148,512.43/330.66
  6. Step 6: Final answer
    x = 449.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.