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Finding the Fourth Proportional to 132.49, 197.78 and 105.40

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Solution

The fourth proportional to 132.49, 197.78 and 105.40 is: 157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.49 : 197.78 = 105.40 : x
  2. Step 2: Convert to fraction form
    132.49/197.78 = 105.40/x
  3. Step 3: Cross multiply
    132.49x = 197.78 × 105.40
  4. Step 4: Simplify right side
    132.49x = 20,846.01
  5. Step 5: Solve for x
    x = 20,846.01/132.49
  6. Step 6: Final answer
    x = 157.34

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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.