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Finding the Fourth Proportional to 339.60, 506.46 and 306.80

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Solution

The fourth proportional to 339.60, 506.46 and 306.80 is: 457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.60 : 506.46 = 306.80 : x
  2. Step 2: Convert to fraction form
    339.60/506.46 = 306.80/x
  3. Step 3: Cross multiply
    339.60x = 506.46 × 306.80
  4. Step 4: Simplify right side
    339.60x = 155,382.45
  5. Step 5: Solve for x
    x = 155,382.45/339.60
  6. Step 6: Final answer
    x = 457.54

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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.