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Finding the Fourth Proportional to 339.08, 508.50 and 209.15

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Solution

The fourth proportional to 339.08, 508.50 and 209.15 is: 313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.08 : 508.50 = 209.15 : x
  2. Step 2: Convert to fraction form
    339.08/508.50 = 209.15/x
  3. Step 3: Cross multiply
    339.08x = 508.50 × 209.15
  4. Step 4: Simplify right side
    339.08x = 106,352.78
  5. Step 5: Solve for x
    x = 106,352.78/339.08
  6. Step 6: Final answer
    x = 313.65

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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.