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Finding the Fourth Proportional to 142.96, 197.33 and 86.94

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Solution

The fourth proportional to 142.96, 197.33 and 86.94 is: 120.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.96 : 197.33 = 86.94 : x
  2. Step 2: Convert to fraction form
    142.96/197.33 = 86.94/x
  3. Step 3: Cross multiply
    142.96x = 197.33 × 86.94
  4. Step 4: Simplify right side
    142.96x = 17,156.58
  5. Step 5: Solve for x
    x = 17,156.58/142.96
  6. Step 6: Final answer
    x = 120.01

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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.