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Finding the Fourth Proportional to 351.73, 527.25 and 189.07

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Solution

The fourth proportional to 351.73, 527.25 and 189.07 is: 283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.73 : 527.25 = 189.07 : x
  2. Step 2: Convert to fraction form
    351.73/527.25 = 189.07/x
  3. Step 3: Cross multiply
    351.73x = 527.25 × 189.07
  4. Step 4: Simplify right side
    351.73x = 99,686.55
  5. Step 5: Solve for x
    x = 99,686.55/351.73
  6. Step 6: Final answer
    x = 283.42

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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.