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Finding the Fourth Proportional to 331.90, 500.07 and 305.66

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Solution

The fourth proportional to 331.90, 500.07 and 305.66 is: 460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.90 : 500.07 = 305.66 : x
  2. Step 2: Convert to fraction form
    331.90/500.07 = 305.66/x
  3. Step 3: Cross multiply
    331.90x = 500.07 × 305.66
  4. Step 4: Simplify right side
    331.90x = 152,849.87
  5. Step 5: Solve for x
    x = 152,849.87/331.90
  6. Step 6: Final answer
    x = 460.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.