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Finding the Fourth Proportional to 339.96, 469.11 and 209.01

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Solution

The fourth proportional to 339.96, 469.11 and 209.01 is: 288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.96 : 469.11 = 209.01 : x
  2. Step 2: Convert to fraction form
    339.96/469.11 = 209.01/x
  3. Step 3: Cross multiply
    339.96x = 469.11 × 209.01
  4. Step 4: Simplify right side
    339.96x = 98,048.68
  5. Step 5: Solve for x
    x = 98,048.68/339.96
  6. Step 6: Final answer
    x = 288.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.