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Finding the Fourth Proportional to 351.54, 527.31 and 208.17

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Solution

The fourth proportional to 351.54, 527.31 and 208.17 is: 312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.54 : 527.31 = 208.17 : x
  2. Step 2: Convert to fraction form
    351.54/527.31 = 208.17/x
  3. Step 3: Cross multiply
    351.54x = 527.31 × 208.17
  4. Step 4: Simplify right side
    351.54x = 109,770.12
  5. Step 5: Solve for x
    x = 109,770.12/351.54
  6. Step 6: Final answer
    x = 312.26

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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.