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Finding the Fourth Proportional to 132.83, 197.91 and 118.46

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Solution

The fourth proportional to 132.83, 197.91 and 118.46 is: 176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.83 : 197.91 = 118.46 : x
  2. Step 2: Convert to fraction form
    132.83/197.91 = 118.46/x
  3. Step 3: Cross multiply
    132.83x = 197.91 × 118.46
  4. Step 4: Simplify right side
    132.83x = 23,444.42
  5. Step 5: Solve for x
    x = 23,444.42/132.83
  6. Step 6: Final answer
    x = 176.50

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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.