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Finding the Fourth Proportional to 119.28, 178.90 and 37

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Solution

The fourth proportional to 119.28, 178.90 and 37 is: 55.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.28 : 178.90 = 37 : x
  2. Step 2: Convert to fraction form
    119.28/178.90 = 37/x
  3. Step 3: Cross multiply
    119.28x = 178.90 × 37
  4. Step 4: Simplify right side
    119.28x = 6,619.30
  5. Step 5: Solve for x
    x = 6,619.30/119.28
  6. Step 6: Final answer
    x = 55.49

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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.