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Finding the Fourth Proportional to 119.36, 178.16 and 105.12

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Solution

The fourth proportional to 119.36, 178.16 and 105.12 is: 156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.36 : 178.16 = 105.12 : x
  2. Step 2: Convert to fraction form
    119.36/178.16 = 105.12/x
  3. Step 3: Cross multiply
    119.36x = 178.16 × 105.12
  4. Step 4: Simplify right side
    119.36x = 18,728.18
  5. Step 5: Solve for x
    x = 18,728.18/119.36
  6. Step 6: Final answer
    x = 156.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.