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Finding the Fourth Proportional to 141.35, 195.15 and 102.23

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Solution

The fourth proportional to 141.35, 195.15 and 102.23 is: 141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.35 : 195.15 = 102.23 : x
  2. Step 2: Convert to fraction form
    141.35/195.15 = 102.23/x
  3. Step 3: Cross multiply
    141.35x = 195.15 × 102.23
  4. Step 4: Simplify right side
    141.35x = 19,950.18
  5. Step 5: Solve for x
    x = 19,950.18/141.35
  6. Step 6: Final answer
    x = 141.14

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