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Finding the Fourth Proportional to 478.50, 659.97 and 331.38

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Solution

The fourth proportional to 478.50, 659.97 and 331.38 is: 457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.50 : 659.97 = 331.38 : x
  2. Step 2: Convert to fraction form
    478.50/659.97 = 331.38/x
  3. Step 3: Cross multiply
    478.50x = 659.97 × 331.38
  4. Step 4: Simplify right side
    478.50x = 218,700.86
  5. Step 5: Solve for x
    x = 218,700.86/478.50
  6. Step 6: Final answer
    x = 457.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.