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Finding the Fourth Proportional to 339.17, 509.30 and 209.99

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Solution

The fourth proportional to 339.17, 509.30 and 209.99 is: 315.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.17 : 509.30 = 209.99 : x
  2. Step 2: Convert to fraction form
    339.17/509.30 = 209.99/x
  3. Step 3: Cross multiply
    339.17x = 509.30 × 209.99
  4. Step 4: Simplify right side
    339.17x = 106,947.91
  5. Step 5: Solve for x
    x = 106,947.91/339.17
  6. Step 6: Final answer
    x = 315.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.