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Finding the Fourth Proportional to 143.72, 197.21 and 141.16

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Solution

The fourth proportional to 143.72, 197.21 and 141.16 is: 193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.72 : 197.21 = 141.16 : x
  2. Step 2: Convert to fraction form
    143.72/197.21 = 141.16/x
  3. Step 3: Cross multiply
    143.72x = 197.21 × 141.16
  4. Step 4: Simplify right side
    143.72x = 27,838.16
  5. Step 5: Solve for x
    x = 27,838.16/143.72
  6. Step 6: Final answer
    x = 193.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.