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Finding the Fourth Proportional to 142.42, 196.53 and 84.19

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Solution

The fourth proportional to 142.42, 196.53 and 84.19 is: 116.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.42 : 196.53 = 84.19 : x
  2. Step 2: Convert to fraction form
    142.42/196.53 = 84.19/x
  3. Step 3: Cross multiply
    142.42x = 196.53 × 84.19
  4. Step 4: Simplify right side
    142.42x = 16,545.05
  5. Step 5: Solve for x
    x = 16,545.05/142.42
  6. Step 6: Final answer
    x = 116.17

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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.