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Finding the Fourth Proportional to 339.34, 506.54 and 334.48

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Solution

The fourth proportional to 339.34, 506.54 and 334.48 is: 499.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.34 : 506.54 = 334.48 : x
  2. Step 2: Convert to fraction form
    339.34/506.54 = 334.48/x
  3. Step 3: Cross multiply
    339.34x = 506.54 × 334.48
  4. Step 4: Simplify right side
    339.34x = 169,427.50
  5. Step 5: Solve for x
    x = 169,427.50/339.34
  6. Step 6: Final answer
    x = 499.29

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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.