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Finding the Fourth Proportional to 351.67, 527.58 and 120.56

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Solution

The fourth proportional to 351.67, 527.58 and 120.56 is: 180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.67 : 527.58 = 120.56 : x
  2. Step 2: Convert to fraction form
    351.67/527.58 = 120.56/x
  3. Step 3: Cross multiply
    351.67x = 527.58 × 120.56
  4. Step 4: Simplify right side
    351.67x = 63,605.04
  5. Step 5: Solve for x
    x = 63,605.04/351.67
  6. Step 6: Final answer
    x = 180.87

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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.