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Finding the Fourth Proportional to 339.74, 506.79 and 301.70

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Solution

The fourth proportional to 339.74, 506.79 and 301.70 is: 450.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.74 : 506.79 = 301.70 : x
  2. Step 2: Convert to fraction form
    339.74/506.79 = 301.70/x
  3. Step 3: Cross multiply
    339.74x = 506.79 × 301.70
  4. Step 4: Simplify right side
    339.74x = 152,897.03
  5. Step 5: Solve for x
    x = 152,897.03/339.74
  6. Step 6: Final answer
    x = 450.04

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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.