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Finding the Fourth Proportional to 132.04, 197.21 and 104.68

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Solution

The fourth proportional to 132.04, 197.21 and 104.68 is: 156.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.04 : 197.21 = 104.68 : x
  2. Step 2: Convert to fraction form
    132.04/197.21 = 104.68/x
  3. Step 3: Cross multiply
    132.04x = 197.21 × 104.68
  4. Step 4: Simplify right side
    132.04x = 20,643.94
  5. Step 5: Solve for x
    x = 20,643.94/132.04
  6. Step 6: Final answer
    x = 156.35

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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.