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Finding the Fourth Proportional to 132.04, 197.99 and 40.72

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Solution

The fourth proportional to 132.04, 197.99 and 40.72 is: 61.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.04 : 197.99 = 40.72 : x
  2. Step 2: Convert to fraction form
    132.04/197.99 = 40.72/x
  3. Step 3: Cross multiply
    132.04x = 197.99 × 40.72
  4. Step 4: Simplify right side
    132.04x = 8,062.37
  5. Step 5: Solve for x
    x = 8,062.37/132.04
  6. Step 6: Final answer
    x = 61.06

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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.