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Finding the Fourth Proportional to 351.54, 527.51 and 189.22

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Solution

The fourth proportional to 351.54, 527.51 and 189.22 is: 283.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.54 : 527.51 = 189.22 : x
  2. Step 2: Convert to fraction form
    351.54/527.51 = 189.22/x
  3. Step 3: Cross multiply
    351.54x = 527.51 × 189.22
  4. Step 4: Simplify right side
    351.54x = 99,815.44
  5. Step 5: Solve for x
    x = 99,815.44/351.54
  6. Step 6: Final answer
    x = 283.94

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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.