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Finding the Fourth Proportional to 132.87, 183.31 and 97.82

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Solution

The fourth proportional to 132.87, 183.31 and 97.82 is: 134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.87 : 183.31 = 97.82 : x
  2. Step 2: Convert to fraction form
    132.87/183.31 = 97.82/x
  3. Step 3: Cross multiply
    132.87x = 183.31 × 97.82
  4. Step 4: Simplify right side
    132.87x = 17,931.38
  5. Step 5: Solve for x
    x = 17,931.38/132.87
  6. Step 6: Final answer
    x = 134.95

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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.