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Finding the Fourth Proportional to 330.05, 492.07 and 321.64

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Solution

The fourth proportional to 330.05, 492.07 and 321.64 is: 479.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.05 : 492.07 = 321.64 : x
  2. Step 2: Convert to fraction form
    330.05/492.07 = 321.64/x
  3. Step 3: Cross multiply
    330.05x = 492.07 × 321.64
  4. Step 4: Simplify right side
    330.05x = 158,265.33
  5. Step 5: Solve for x
    x = 158,265.33/330.05
  6. Step 6: Final answer
    x = 479.52

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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.