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Finding the Fourth Proportional to 97.05, 144.81 and 86.83

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Solution

The fourth proportional to 97.05, 144.81 and 86.83 is: 129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.05 : 144.81 = 86.83 : x
  2. Step 2: Convert to fraction form
    97.05/144.81 = 86.83/x
  3. Step 3: Cross multiply
    97.05x = 144.81 × 86.83
  4. Step 4: Simplify right side
    97.05x = 12,573.42
  5. Step 5: Solve for x
    x = 12,573.42/97.05
  6. Step 6: Final answer
    x = 129.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.