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Finding the Fourth Proportional to 132.47, 197.90 and 105.45

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Solution

The fourth proportional to 132.47, 197.90 and 105.45 is: 157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.47 : 197.90 = 105.45 : x
  2. Step 2: Convert to fraction form
    132.47/197.90 = 105.45/x
  3. Step 3: Cross multiply
    132.47x = 197.90 × 105.45
  4. Step 4: Simplify right side
    132.47x = 20,868.56
  5. Step 5: Solve for x
    x = 20,868.56/132.47
  6. Step 6: Final answer
    x = 157.53

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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.