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Finding the Fourth Proportional to 102.20, 141.98 and 101.20

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Solution

The fourth proportional to 102.20, 141.98 and 101.20 is: 140.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.20 : 141.98 = 101.20 : x
  2. Step 2: Convert to fraction form
    102.20/141.98 = 101.20/x
  3. Step 3: Cross multiply
    102.20x = 141.98 × 101.20
  4. Step 4: Simplify right side
    102.20x = 14,368.38
  5. Step 5: Solve for x
    x = 14,368.38/102.20
  6. Step 6: Final answer
    x = 140.59

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