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Finding the Fourth Proportional to 330.44, 492.42 and 318.82

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Solution

The fourth proportional to 330.44, 492.42 and 318.82 is: 475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.44 : 492.42 = 318.82 : x
  2. Step 2: Convert to fraction form
    330.44/492.42 = 318.82/x
  3. Step 3: Cross multiply
    330.44x = 492.42 × 318.82
  4. Step 4: Simplify right side
    330.44x = 156,993.34
  5. Step 5: Solve for x
    x = 156,993.34/330.44
  6. Step 6: Final answer
    x = 475.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.