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Finding the Fourth Proportional to 131.67, 196.21 and 127.32

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Solution

The fourth proportional to 131.67, 196.21 and 127.32 is: 189.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.67 : 196.21 = 127.32 : x
  2. Step 2: Convert to fraction form
    131.67/196.21 = 127.32/x
  3. Step 3: Cross multiply
    131.67x = 196.21 × 127.32
  4. Step 4: Simplify right side
    131.67x = 24,981.46
  5. Step 5: Solve for x
    x = 24,981.46/131.67
  6. Step 6: Final answer
    x = 189.73

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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.