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Finding the Fourth Proportional to 132.98, 199.46 and 51.80

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Solution

The fourth proportional to 132.98, 199.46 and 51.80 is: 77.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.98 : 199.46 = 51.80 : x
  2. Step 2: Convert to fraction form
    132.98/199.46 = 51.80/x
  3. Step 3: Cross multiply
    132.98x = 199.46 × 51.80
  4. Step 4: Simplify right side
    132.98x = 10,330.77
  5. Step 5: Solve for x
    x = 10,330.77/132.98
  6. Step 6: Final answer
    x = 77.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.