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Finding the Fourth Proportional to 331.80, 494.90 and 309.12

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Solution

The fourth proportional to 331.80, 494.90 and 309.12 is: 461.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.80 : 494.90 = 309.12 : x
  2. Step 2: Convert to fraction form
    331.80/494.90 = 309.12/x
  3. Step 3: Cross multiply
    331.80x = 494.90 × 309.12
  4. Step 4: Simplify right side
    331.80x = 152,981.94
  5. Step 5: Solve for x
    x = 152,981.94/331.80
  6. Step 6: Final answer
    x = 461.07

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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.