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Finding the Fourth Proportional to 141.60, 195.40 and 106.64

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Solution

The fourth proportional to 141.60, 195.40 and 106.64 is: 147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.60 : 195.40 = 106.64 : x
  2. Step 2: Convert to fraction form
    141.60/195.40 = 106.64/x
  3. Step 3: Cross multiply
    141.60x = 195.40 × 106.64
  4. Step 4: Simplify right side
    141.60x = 20,837.46
  5. Step 5: Solve for x
    x = 20,837.46/141.60
  6. Step 6: Final answer
    x = 147.16

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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.