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Finding the Fourth Proportional to 339.09, 507.45 and 209.06

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Solution

The fourth proportional to 339.09, 507.45 and 209.06 is: 312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.09 : 507.45 = 209.06 : x
  2. Step 2: Convert to fraction form
    339.09/507.45 = 209.06/x
  3. Step 3: Cross multiply
    339.09x = 507.45 × 209.06
  4. Step 4: Simplify right side
    339.09x = 106,087.50
  5. Step 5: Solve for x
    x = 106,087.50/339.09
  6. Step 6: Final answer
    x = 312.86

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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.