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Finding the Fourth Proportional to 132.83, 197.88 and 127.93

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Solution

The fourth proportional to 132.83, 197.88 and 127.93 is: 190.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.83 : 197.88 = 127.93 : x
  2. Step 2: Convert to fraction form
    132.83/197.88 = 127.93/x
  3. Step 3: Cross multiply
    132.83x = 197.88 × 127.93
  4. Step 4: Simplify right side
    132.83x = 25,314.72
  5. Step 5: Solve for x
    x = 25,314.72/132.83
  6. Step 6: Final answer
    x = 190.58

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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.