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Finding the Fourth Proportional to 142.50, 197.70 and 141.15

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Solution

The fourth proportional to 142.50, 197.70 and 141.15 is: 195.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.50 : 197.70 = 141.15 : x
  2. Step 2: Convert to fraction form
    142.50/197.70 = 141.15/x
  3. Step 3: Cross multiply
    142.50x = 197.70 × 141.15
  4. Step 4: Simplify right side
    142.50x = 27,905.36
  5. Step 5: Solve for x
    x = 27,905.36/142.50
  6. Step 6: Final answer
    x = 195.83

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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.