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Finding the Fourth Proportional to 339.30, 505.87 and 306.50

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Solution

The fourth proportional to 339.30, 505.87 and 306.50 is: 456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.30 : 505.87 = 306.50 : x
  2. Step 2: Convert to fraction form
    339.30/505.87 = 306.50/x
  3. Step 3: Cross multiply
    339.30x = 505.87 × 306.50
  4. Step 4: Simplify right side
    339.30x = 155,045.09
  5. Step 5: Solve for x
    x = 155,045.09/339.30
  6. Step 6: Final answer
    x = 456.96

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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.