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Finding the Fourth Proportional to 339.80, 506.75 and 331.52

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Solution

The fourth proportional to 339.80, 506.75 and 331.52 is: 494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.80 : 506.75 = 331.52 : x
  2. Step 2: Convert to fraction form
    339.80/506.75 = 331.52/x
  3. Step 3: Cross multiply
    339.80x = 506.75 × 331.52
  4. Step 4: Simplify right side
    339.80x = 167,994.81
  5. Step 5: Solve for x
    x = 167,994.81/339.80
  6. Step 6: Final answer
    x = 494.40

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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.