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Finding the Fourth Proportional to 351.86, 527.65 and 205.66

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Solution

The fourth proportional to 351.86, 527.65 and 205.66 is: 308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.86 : 527.65 = 205.66 : x
  2. Step 2: Convert to fraction form
    351.86/527.65 = 205.66/x
  3. Step 3: Cross multiply
    351.86x = 527.65 × 205.66
  4. Step 4: Simplify right side
    351.86x = 108,514.01
  5. Step 5: Solve for x
    x = 108,514.01/351.86
  6. Step 6: Final answer
    x = 308.40

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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.