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Finding the Fourth Proportional to 331.02, 494.12 and 309.66

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Solution

The fourth proportional to 331.02, 494.12 and 309.66 is: 462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.02 : 494.12 = 309.66 : x
  2. Step 2: Convert to fraction form
    331.02/494.12 = 309.66/x
  3. Step 3: Cross multiply
    331.02x = 494.12 × 309.66
  4. Step 4: Simplify right side
    331.02x = 153,007.65
  5. Step 5: Solve for x
    x = 153,007.65/331.02
  6. Step 6: Final answer
    x = 462.23

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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.