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Finding the Fourth Proportional to 339.48, 506.32 and 333.63

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Solution

The fourth proportional to 339.48, 506.32 and 333.63 is: 497.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.48 : 506.32 = 333.63 : x
  2. Step 2: Convert to fraction form
    339.48/506.32 = 333.63/x
  3. Step 3: Cross multiply
    339.48x = 506.32 × 333.63
  4. Step 4: Simplify right side
    339.48x = 168,923.54
  5. Step 5: Solve for x
    x = 168,923.54/339.48
  6. Step 6: Final answer
    x = 497.59

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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.