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Finding the Fourth Proportional to 351.72, 527.61 and 208.35

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Solution

The fourth proportional to 351.72, 527.61 and 208.35 is: 312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.72 : 527.61 = 208.35 : x
  2. Step 2: Convert to fraction form
    351.72/527.61 = 208.35/x
  3. Step 3: Cross multiply
    351.72x = 527.61 × 208.35
  4. Step 4: Simplify right side
    351.72x = 109,927.54
  5. Step 5: Solve for x
    x = 109,927.54/351.72
  6. Step 6: Final answer
    x = 312.54

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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.