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Finding the Fourth Proportional to 146.38, 202.20 and 105.10

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Solution

The fourth proportional to 146.38, 202.20 and 105.10 is: 145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.38 : 202.20 = 105.10 : x
  2. Step 2: Convert to fraction form
    146.38/202.20 = 105.10/x
  3. Step 3: Cross multiply
    146.38x = 202.20 × 105.10
  4. Step 4: Simplify right side
    146.38x = 21,251.22
  5. Step 5: Solve for x
    x = 21,251.22/146.38
  6. Step 6: Final answer
    x = 145.18

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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.