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Finding the Fourth Proportional to 132.19, 197.50 and 127.65

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Solution

The fourth proportional to 132.19, 197.50 and 127.65 is: 190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.19 : 197.50 = 127.65 : x
  2. Step 2: Convert to fraction form
    132.19/197.50 = 127.65/x
  3. Step 3: Cross multiply
    132.19x = 197.50 × 127.65
  4. Step 4: Simplify right side
    132.19x = 25,210.88
  5. Step 5: Solve for x
    x = 25,210.88/132.19
  6. Step 6: Final answer
    x = 190.72

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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.