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Finding the Fourth Proportional to 142.82, 197.01 and 84.58

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Solution

The fourth proportional to 142.82, 197.01 and 84.58 is: 116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.82 : 197.01 = 84.58 : x
  2. Step 2: Convert to fraction form
    142.82/197.01 = 84.58/x
  3. Step 3: Cross multiply
    142.82x = 197.01 × 84.58
  4. Step 4: Simplify right side
    142.82x = 16,663.11
  5. Step 5: Solve for x
    x = 16,663.11/142.82
  6. Step 6: Final answer
    x = 116.67

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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.