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Finding the Fourth Proportional to 330.42, 458.31 and 319.44

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Solution

The fourth proportional to 330.42, 458.31 and 319.44 is: 443.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.42 : 458.31 = 319.44 : x
  2. Step 2: Convert to fraction form
    330.42/458.31 = 319.44/x
  3. Step 3: Cross multiply
    330.42x = 458.31 × 319.44
  4. Step 4: Simplify right side
    330.42x = 146,402.55
  5. Step 5: Solve for x
    x = 146,402.55/330.42
  6. Step 6: Final answer
    x = 443.08

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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.