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Finding the Fourth Proportional to 339.80, 506.79 and 305.24

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Solution

The fourth proportional to 339.80, 506.79 and 305.24 is: 455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.80 : 506.79 = 305.24 : x
  2. Step 2: Convert to fraction form
    339.80/506.79 = 305.24/x
  3. Step 3: Cross multiply
    339.80x = 506.79 × 305.24
  4. Step 4: Simplify right side
    339.80x = 154,692.58
  5. Step 5: Solve for x
    x = 154,692.58/339.80
  6. Step 6: Final answer
    x = 455.25

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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.