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Finding the Fourth Proportional to 339.96, 469.17 and 207.27

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Solution

The fourth proportional to 339.96, 469.17 and 207.27 is: 286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.96 : 469.17 = 207.27 : x
  2. Step 2: Convert to fraction form
    339.96/469.17 = 207.27/x
  3. Step 3: Cross multiply
    339.96x = 469.17 × 207.27
  4. Step 4: Simplify right side
    339.96x = 97,244.87
  5. Step 5: Solve for x
    x = 97,244.87/339.96
  6. Step 6: Final answer
    x = 286.05

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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.