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Finding the Fourth Proportional to 351.87, 527.23 and 120.63

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Solution

The fourth proportional to 351.87, 527.23 and 120.63 is: 180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.87 : 527.23 = 120.63 : x
  2. Step 2: Convert to fraction form
    351.87/527.23 = 120.63/x
  3. Step 3: Cross multiply
    351.87x = 527.23 × 120.63
  4. Step 4: Simplify right side
    351.87x = 63,600.47
  5. Step 5: Solve for x
    x = 63,600.47/351.87
  6. Step 6: Final answer
    x = 180.75

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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.