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Finding the Fourth Proportional to 102.08, 141.81 and 101.19

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Solution

The fourth proportional to 102.08, 141.81 and 101.19 is: 140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.08 : 141.81 = 101.19 : x
  2. Step 2: Convert to fraction form
    102.08/141.81 = 101.19/x
  3. Step 3: Cross multiply
    102.08x = 141.81 × 101.19
  4. Step 4: Simplify right side
    102.08x = 14,349.75
  5. Step 5: Solve for x
    x = 14,349.75/102.08
  6. Step 6: Final answer
    x = 140.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.