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Finding the Fourth Proportional to 331.17, 492.84 and 321.45

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Solution

The fourth proportional to 331.17, 492.84 and 321.45 is: 478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.17 : 492.84 = 321.45 : x
  2. Step 2: Convert to fraction form
    331.17/492.84 = 321.45/x
  3. Step 3: Cross multiply
    331.17x = 492.84 × 321.45
  4. Step 4: Simplify right side
    331.17x = 158,423.42
  5. Step 5: Solve for x
    x = 158,423.42/331.17
  6. Step 6: Final answer
    x = 478.37

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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.