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Finding the Fourth Proportional to 119.02, 164.38 and 75.38

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Solution

The fourth proportional to 119.02, 164.38 and 75.38 is: 104.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.02 : 164.38 = 75.38 : x
  2. Step 2: Convert to fraction form
    119.02/164.38 = 75.38/x
  3. Step 3: Cross multiply
    119.02x = 164.38 × 75.38
  4. Step 4: Simplify right side
    119.02x = 12,390.96
  5. Step 5: Solve for x
    x = 12,390.96/119.02
  6. Step 6: Final answer
    x = 104.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.