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Finding the Fourth Proportional to 105.38, 158.16 and 73.34

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Solution

The fourth proportional to 105.38, 158.16 and 73.34 is: 110.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.38 : 158.16 = 73.34 : x
  2. Step 2: Convert to fraction form
    105.38/158.16 = 73.34/x
  3. Step 3: Cross multiply
    105.38x = 158.16 × 73.34
  4. Step 4: Simplify right side
    105.38x = 11,599.45
  5. Step 5: Solve for x
    x = 11,599.45/105.38
  6. Step 6: Final answer
    x = 110.07

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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.