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Finding the Fourth Proportional to 330.67, 492.10 and 320.95

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Solution

The fourth proportional to 330.67, 492.10 and 320.95 is: 477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.67 : 492.10 = 320.95 : x
  2. Step 2: Convert to fraction form
    330.67/492.10 = 320.95/x
  3. Step 3: Cross multiply
    330.67x = 492.10 × 320.95
  4. Step 4: Simplify right side
    330.67x = 157,939.50
  5. Step 5: Solve for x
    x = 157,939.50/330.67
  6. Step 6: Final answer
    x = 477.63

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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.