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Finding the Fourth Proportional to 339.58, 506.80 and 306.77

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Solution

The fourth proportional to 339.58, 506.80 and 306.77 is: 457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.58 : 506.80 = 306.77 : x
  2. Step 2: Convert to fraction form
    339.58/506.80 = 306.77/x
  3. Step 3: Cross multiply
    339.58x = 506.80 × 306.77
  4. Step 4: Simplify right side
    339.58x = 155,472.30
  5. Step 5: Solve for x
    x = 155,472.30/339.58
  6. Step 6: Final answer
    x = 457.84

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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.